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Simplifying 9x + -4(x + -8) = 3(2x + -7) Reorder the terms: 9x + -4(-8 + x) = 3(2x + -7) 9x + (-8 * -4 + x * -4) = 3(2x + -7) 9x + (32 + -4x) = 3(2x + -7) Reorder the terms: 32 + 9x + -4x = 3(2x + -7) Combine like terms: 9x + -4x = 5x 32 + 5x = 3(2x + -7) Reorder the terms: 32 + 5x = 3(-7 + 2x) 32 + 5x = (-7 * 3 + 2x * 3) 32 + 5x = (-21 + 6x) Solving 32 + 5x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + 5x + -6x = -21 + 6x + -6x Combine like terms: 5x + -6x = -1x 32 + -1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + -1x = -21 + 0 32 + -1x = -21 Add '-32' to each side of the equation. 32 + -32 + -1x = -21 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = -21 + -32 -1x = -21 + -32 Combine like terms: -21 + -32 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53
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