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Simplifying 4(18 + -5x) + -12(3x + -7) = 15(2x + -16) + -6(x + 14) (18 * 4 + -5x * 4) + -12(3x + -7) = 15(2x + -16) + -6(x + 14) (72 + -20x) + -12(3x + -7) = 15(2x + -16) + -6(x + 14) Reorder the terms: 72 + -20x + -12(-7 + 3x) = 15(2x + -16) + -6(x + 14) 72 + -20x + (-7 * -12 + 3x * -12) = 15(2x + -16) + -6(x + 14) 72 + -20x + (84 + -36x) = 15(2x + -16) + -6(x + 14) Reorder the terms: 72 + 84 + -20x + -36x = 15(2x + -16) + -6(x + 14) Combine like terms: 72 + 84 = 156 156 + -20x + -36x = 15(2x + -16) + -6(x + 14) Combine like terms: -20x + -36x = -56x 156 + -56x = 15(2x + -16) + -6(x + 14) Reorder the terms: 156 + -56x = 15(-16 + 2x) + -6(x + 14) 156 + -56x = (-16 * 15 + 2x * 15) + -6(x + 14) 156 + -56x = (-240 + 30x) + -6(x + 14) Reorder the terms: 156 + -56x = -240 + 30x + -6(14 + x) 156 + -56x = -240 + 30x + (14 * -6 + x * -6) 156 + -56x = -240 + 30x + (-84 + -6x) Reorder the terms: 156 + -56x = -240 + -84 + 30x + -6x Combine like terms: -240 + -84 = -324 156 + -56x = -324 + 30x + -6x Combine like terms: 30x + -6x = 24x 156 + -56x = -324 + 24x Solving 156 + -56x = -324 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 156 + -56x + -24x = -324 + 24x + -24x Combine like terms: -56x + -24x = -80x 156 + -80x = -324 + 24x + -24x Combine like terms: 24x + -24x = 0 156 + -80x = -324 + 0 156 + -80x = -324 Add '-156' to each side of the equation. 156 + -156 + -80x = -324 + -156 Combine like terms: 156 + -156 = 0 0 + -80x = -324 + -156 -80x = -324 + -156 Combine like terms: -324 + -156 = -480 -80x = -480 Divide each side by '-80'. x = 6 Simplifying x = 6
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