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Simplifying 7x + -4(x + -3) = -1(-2x + -3) Reorder the terms: 7x + -4(-3 + x) = -1(-2x + -3) 7x + (-3 * -4 + x * -4) = -1(-2x + -3) 7x + (12 + -4x) = -1(-2x + -3) Reorder the terms: 12 + 7x + -4x = -1(-2x + -3) Combine like terms: 7x + -4x = 3x 12 + 3x = -1(-2x + -3) Reorder the terms: 12 + 3x = -1(-3 + -2x) 12 + 3x = (-3 * -1 + -2x * -1) 12 + 3x = (3 + 2x) Solving 12 + 3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 3 + 0 12 + 1x = 3 Add '-12' to each side of the equation. 12 + -12 + 1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 3 + -12 1x = 3 + -12 Combine like terms: 3 + -12 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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