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Simplifying -4(x + -7) + 3(x + 9) = 5x Reorder the terms: -4(-7 + x) + 3(x + 9) = 5x (-7 * -4 + x * -4) + 3(x + 9) = 5x (28 + -4x) + 3(x + 9) = 5x Reorder the terms: 28 + -4x + 3(9 + x) = 5x 28 + -4x + (9 * 3 + x * 3) = 5x 28 + -4x + (27 + 3x) = 5x Reorder the terms: 28 + 27 + -4x + 3x = 5x Combine like terms: 28 + 27 = 55 55 + -4x + 3x = 5x Combine like terms: -4x + 3x = -1x 55 + -1x = 5x Solving 55 + -1x = 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. 55 + -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x 55 + -6x = 5x + -5x Combine like terms: 5x + -5x = 0 55 + -6x = 0 Add '-55' to each side of the equation. 55 + -55 + -6x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -6x = 0 + -55 -6x = 0 + -55 Combine like terms: 0 + -55 = -55 -6x = -55 Divide each side by '-6'. x = 9.166666667 Simplifying x = 9.166666667
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