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Simplifying 2(x + -1) + -3 = 4(x + 3) + -2 Reorder the terms: 2(-1 + x) + -3 = 4(x + 3) + -2 (-1 * 2 + x * 2) + -3 = 4(x + 3) + -2 (-2 + 2x) + -3 = 4(x + 3) + -2 Reorder the terms: -2 + -3 + 2x = 4(x + 3) + -2 Combine like terms: -2 + -3 = -5 -5 + 2x = 4(x + 3) + -2 Reorder the terms: -5 + 2x = 4(3 + x) + -2 -5 + 2x = (3 * 4 + x * 4) + -2 -5 + 2x = (12 + 4x) + -2 Reorder the terms: -5 + 2x = 12 + -2 + 4x Combine like terms: 12 + -2 = 10 -5 + 2x = 10 + 4x Solving -5 + 2x = 10 + 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. -5 + 2x + -4x = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = 10 + 0 -5 + -2x = 10 Add '5' to each side of the equation. -5 + 5 + -2x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 10 + 5 -2x = 10 + 5 Combine like terms: 10 + 5 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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