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Simplifying 3x + -2(x + -4) + 7 = 12 + -3x Reorder the terms: 3x + -2(-4 + x) + 7 = 12 + -3x 3x + (-4 * -2 + x * -2) + 7 = 12 + -3x 3x + (8 + -2x) + 7 = 12 + -3x Reorder the terms: 8 + 7 + 3x + -2x = 12 + -3x Combine like terms: 8 + 7 = 15 15 + 3x + -2x = 12 + -3x Combine like terms: 3x + -2x = 1x 15 + 1x = 12 + -3x Solving 15 + 1x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + 1x + 3x = 12 + -3x + 3x Combine like terms: 1x + 3x = 4x 15 + 4x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 4x = 12 + 0 15 + 4x = 12 Add '-15' to each side of the equation. 15 + -15 + 4x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 12 + -15 4x = 12 + -15 Combine like terms: 12 + -15 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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