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Simplifying 3x + -2(3 + x) = 5 + -3(4 + -1x) 3x + (3 * -2 + x * -2) = 5 + -3(4 + -1x) 3x + (-6 + -2x) = 5 + -3(4 + -1x) Reorder the terms: -6 + 3x + -2x = 5 + -3(4 + -1x) Combine like terms: 3x + -2x = 1x -6 + 1x = 5 + -3(4 + -1x) -6 + 1x = 5 + (4 * -3 + -1x * -3) -6 + 1x = 5 + (-12 + 3x) Combine like terms: 5 + -12 = -7 -6 + 1x = -7 + 3x Solving -6 + 1x = -7 + 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. -6 + 1x + -3x = -7 + 3x + -3x Combine like terms: 1x + -3x = -2x -6 + -2x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = -7 + 0 -6 + -2x = -7 Add '6' to each side of the equation. -6 + 6 + -2x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -7 + 6 -2x = -7 + 6 Combine like terms: -7 + 6 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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