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Simplifying -9x + 4(2x + -3) = 5(2x + -3) + 7 Reorder the terms: -9x + 4(-3 + 2x) = 5(2x + -3) + 7 -9x + (-3 * 4 + 2x * 4) = 5(2x + -3) + 7 -9x + (-12 + 8x) = 5(2x + -3) + 7 Reorder the terms: -12 + -9x + 8x = 5(2x + -3) + 7 Combine like terms: -9x + 8x = -1x -12 + -1x = 5(2x + -3) + 7 Reorder the terms: -12 + -1x = 5(-3 + 2x) + 7 -12 + -1x = (-3 * 5 + 2x * 5) + 7 -12 + -1x = (-15 + 10x) + 7 Reorder the terms: -12 + -1x = -15 + 7 + 10x Combine like terms: -15 + 7 = -8 -12 + -1x = -8 + 10x Solving -12 + -1x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + -1x + -10x = -8 + 10x + -10x Combine like terms: -1x + -10x = -11x -12 + -11x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -11x = -8 + 0 -12 + -11x = -8 Add '12' to each side of the equation. -12 + 12 + -11x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = -8 + 12 -11x = -8 + 12 Combine like terms: -8 + 12 = 4 -11x = 4 Divide each side by '-11'. x = -0.3636363636 Simplifying x = -0.3636363636
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