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Simplifying 5(3x + -7) + 8(9 + -2x) = 3(15 + 4x) Reorder the terms: 5(-7 + 3x) + 8(9 + -2x) = 3(15 + 4x) (-7 * 5 + 3x * 5) + 8(9 + -2x) = 3(15 + 4x) (-35 + 15x) + 8(9 + -2x) = 3(15 + 4x) -35 + 15x + (9 * 8 + -2x * 8) = 3(15 + 4x) -35 + 15x + (72 + -16x) = 3(15 + 4x) Reorder the terms: -35 + 72 + 15x + -16x = 3(15 + 4x) Combine like terms: -35 + 72 = 37 37 + 15x + -16x = 3(15 + 4x) Combine like terms: 15x + -16x = -1x 37 + -1x = 3(15 + 4x) 37 + -1x = (15 * 3 + 4x * 3) 37 + -1x = (45 + 12x) Solving 37 + -1x = 45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 37 + -1x + -12x = 45 + 12x + -12x Combine like terms: -1x + -12x = -13x 37 + -13x = 45 + 12x + -12x Combine like terms: 12x + -12x = 0 37 + -13x = 45 + 0 37 + -13x = 45 Add '-37' to each side of the equation. 37 + -37 + -13x = 45 + -37 Combine like terms: 37 + -37 = 0 0 + -13x = 45 + -37 -13x = 45 + -37 Combine like terms: 45 + -37 = 8 -13x = 8 Divide each side by '-13'. x = -0.6153846154 Simplifying x = -0.6153846154
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