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Simplifying 3x + -2(x + 3) = 4x + -1(12 + -3) Reorder the terms: 3x + -2(3 + x) = 4x + -1(12 + -3) 3x + (3 * -2 + x * -2) = 4x + -1(12 + -3) 3x + (-6 + -2x) = 4x + -1(12 + -3) Reorder the terms: -6 + 3x + -2x = 4x + -1(12 + -3) Combine like terms: 3x + -2x = 1x -6 + 1x = 4x + -1(12 + -3) Combine like terms: 12 + -3 = 9 -6 + 1x = 4x + -1(9) Multiply -1 * 9 -6 + 1x = 4x + -9 Reorder the terms: -6 + 1x = -9 + 4x Solving -6 + 1x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 1x + -4x = -9 + 4x + -4x Combine like terms: 1x + -4x = -3x -6 + -3x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = -9 + 0 -6 + -3x = -9 Add '6' to each side of the equation. -6 + 6 + -3x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -9 + 6 -3x = -9 + 6 Combine like terms: -9 + 6 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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