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Simplifying 3(x + -2) + -4 = 2(x + -1) + -1 Reorder the terms: 3(-2 + x) + -4 = 2(x + -1) + -1 (-2 * 3 + x * 3) + -4 = 2(x + -1) + -1 (-6 + 3x) + -4 = 2(x + -1) + -1 Reorder the terms: -6 + -4 + 3x = 2(x + -1) + -1 Combine like terms: -6 + -4 = -10 -10 + 3x = 2(x + -1) + -1 Reorder the terms: -10 + 3x = 2(-1 + x) + -1 -10 + 3x = (-1 * 2 + x * 2) + -1 -10 + 3x = (-2 + 2x) + -1 Reorder the terms: -10 + 3x = -2 + -1 + 2x Combine like terms: -2 + -1 = -3 -10 + 3x = -3 + 2x Solving -10 + 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. -10 + 3x + -2x = -3 + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = -3 + 0 -10 + 1x = -3 Add '10' to each side of the equation. -10 + 10 + 1x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -3 + 10 1x = -3 + 10 Combine like terms: -3 + 10 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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