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Simplifying 5x + -3(x + -4) = -9 + 5x + -3 Reorder the terms: 5x + -3(-4 + x) = -9 + 5x + -3 5x + (-4 * -3 + x * -3) = -9 + 5x + -3 5x + (12 + -3x) = -9 + 5x + -3 Reorder the terms: 12 + 5x + -3x = -9 + 5x + -3 Combine like terms: 5x + -3x = 2x 12 + 2x = -9 + 5x + -3 Reorder the terms: 12 + 2x = -9 + -3 + 5x Combine like terms: -9 + -3 = -12 12 + 2x = -12 + 5x Solving 12 + 2x = -12 + 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. 12 + 2x + -5x = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = -12 + 0 12 + -3x = -12 Add '-12' to each side of the equation. 12 + -12 + -3x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -12 + -12 -3x = -12 + -12 Combine like terms: -12 + -12 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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