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Simplifying 4(2x + 6) + -6(2x + -8) = 11x + 3(3x + -7) Reorder the terms: 4(6 + 2x) + -6(2x + -8) = 11x + 3(3x + -7) (6 * 4 + 2x * 4) + -6(2x + -8) = 11x + 3(3x + -7) (24 + 8x) + -6(2x + -8) = 11x + 3(3x + -7) Reorder the terms: 24 + 8x + -6(-8 + 2x) = 11x + 3(3x + -7) 24 + 8x + (-8 * -6 + 2x * -6) = 11x + 3(3x + -7) 24 + 8x + (48 + -12x) = 11x + 3(3x + -7) Reorder the terms: 24 + 48 + 8x + -12x = 11x + 3(3x + -7) Combine like terms: 24 + 48 = 72 72 + 8x + -12x = 11x + 3(3x + -7) Combine like terms: 8x + -12x = -4x 72 + -4x = 11x + 3(3x + -7) Reorder the terms: 72 + -4x = 11x + 3(-7 + 3x) 72 + -4x = 11x + (-7 * 3 + 3x * 3) 72 + -4x = 11x + (-21 + 9x) Reorder the terms: 72 + -4x = -21 + 11x + 9x Combine like terms: 11x + 9x = 20x 72 + -4x = -21 + 20x Solving 72 + -4x = -21 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 72 + -4x + -20x = -21 + 20x + -20x Combine like terms: -4x + -20x = -24x 72 + -24x = -21 + 20x + -20x Combine like terms: 20x + -20x = 0 72 + -24x = -21 + 0 72 + -24x = -21 Add '-72' to each side of the equation. 72 + -72 + -24x = -21 + -72 Combine like terms: 72 + -72 = 0 0 + -24x = -21 + -72 -24x = -21 + -72 Combine like terms: -21 + -72 = -93 -24x = -93 Divide each side by '-24'. x = 3.875 Simplifying x = 3.875
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