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Simplifying -4(2x + -5) + 9x = 7(x + 4) Reorder the terms: -4(-5 + 2x) + 9x = 7(x + 4) (-5 * -4 + 2x * -4) + 9x = 7(x + 4) (20 + -8x) + 9x = 7(x + 4) Combine like terms: -8x + 9x = 1x 20 + 1x = 7(x + 4) Reorder the terms: 20 + 1x = 7(4 + x) 20 + 1x = (4 * 7 + x * 7) 20 + 1x = (28 + 7x) Solving 20 + 1x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 1x + -7x = 28 + 7x + -7x Combine like terms: 1x + -7x = -6x 20 + -6x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -6x = 28 + 0 20 + -6x = 28 Add '-20' to each side of the equation. 20 + -20 + -6x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 28 + -20 -6x = 28 + -20 Combine like terms: 28 + -20 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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