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Simplifying -9(x + 3) + 5(3x + -7) = 5(x + -6) + 9 Reorder the terms: -9(3 + x) + 5(3x + -7) = 5(x + -6) + 9 (3 * -9 + x * -9) + 5(3x + -7) = 5(x + -6) + 9 (-27 + -9x) + 5(3x + -7) = 5(x + -6) + 9 Reorder the terms: -27 + -9x + 5(-7 + 3x) = 5(x + -6) + 9 -27 + -9x + (-7 * 5 + 3x * 5) = 5(x + -6) + 9 -27 + -9x + (-35 + 15x) = 5(x + -6) + 9 Reorder the terms: -27 + -35 + -9x + 15x = 5(x + -6) + 9 Combine like terms: -27 + -35 = -62 -62 + -9x + 15x = 5(x + -6) + 9 Combine like terms: -9x + 15x = 6x -62 + 6x = 5(x + -6) + 9 Reorder the terms: -62 + 6x = 5(-6 + x) + 9 -62 + 6x = (-6 * 5 + x * 5) + 9 -62 + 6x = (-30 + 5x) + 9 Reorder the terms: -62 + 6x = -30 + 9 + 5x Combine like terms: -30 + 9 = -21 -62 + 6x = -21 + 5x Solving -62 + 6x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -62 + 6x + -5x = -21 + 5x + -5x Combine like terms: 6x + -5x = 1x -62 + 1x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -62 + 1x = -21 + 0 -62 + 1x = -21 Add '62' to each side of the equation. -62 + 62 + 1x = -21 + 62 Combine like terms: -62 + 62 = 0 0 + 1x = -21 + 62 1x = -21 + 62 Combine like terms: -21 + 62 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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