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Simplifying 5 + 3(x + -7) = 9 + -5(x + -4) Reorder the terms: 5 + 3(-7 + x) = 9 + -5(x + -4) 5 + (-7 * 3 + x * 3) = 9 + -5(x + -4) 5 + (-21 + 3x) = 9 + -5(x + -4) Combine like terms: 5 + -21 = -16 -16 + 3x = 9 + -5(x + -4) Reorder the terms: -16 + 3x = 9 + -5(-4 + x) -16 + 3x = 9 + (-4 * -5 + x * -5) -16 + 3x = 9 + (20 + -5x) Combine like terms: 9 + 20 = 29 -16 + 3x = 29 + -5x Solving -16 + 3x = 29 + -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. -16 + 3x + 5x = 29 + -5x + 5x Combine like terms: 3x + 5x = 8x -16 + 8x = 29 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 8x = 29 + 0 -16 + 8x = 29 Add '16' to each side of the equation. -16 + 16 + 8x = 29 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 29 + 16 8x = 29 + 16 Combine like terms: 29 + 16 = 45 8x = 45 Divide each side by '8'. x = 5.625 Simplifying x = 5.625
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