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Simplifying 5x + -3(x + -4) = -6 + 5x + 12 Reorder the terms: 5x + -3(-4 + x) = -6 + 5x + 12 5x + (-4 * -3 + x * -3) = -6 + 5x + 12 5x + (12 + -3x) = -6 + 5x + 12 Reorder the terms: 12 + 5x + -3x = -6 + 5x + 12 Combine like terms: 5x + -3x = 2x 12 + 2x = -6 + 5x + 12 Reorder the terms: 12 + 2x = -6 + 12 + 5x Combine like terms: -6 + 12 = 6 12 + 2x = 6 + 5x Solving 12 + 2x = 6 + 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 = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = 6 + 0 12 + -3x = 6 Add '-12' to each side of the equation. 12 + -12 + -3x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 6 + -12 -3x = 6 + -12 Combine like terms: 6 + -12 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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