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Simplifying 4(x + 2) + -3 = 2(x + -1) + 3 Reorder the terms: 4(2 + x) + -3 = 2(x + -1) + 3 (2 * 4 + x * 4) + -3 = 2(x + -1) + 3 (8 + 4x) + -3 = 2(x + -1) + 3 Reorder the terms: 8 + -3 + 4x = 2(x + -1) + 3 Combine like terms: 8 + -3 = 5 5 + 4x = 2(x + -1) + 3 Reorder the terms: 5 + 4x = 2(-1 + x) + 3 5 + 4x = (-1 * 2 + x * 2) + 3 5 + 4x = (-2 + 2x) + 3 Reorder the terms: 5 + 4x = -2 + 3 + 2x Combine like terms: -2 + 3 = 1 5 + 4x = 1 + 2x Solving 5 + 4x = 1 + 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. 5 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 1 + 0 5 + 2x = 1 Add '-5' to each side of the equation. 5 + -5 + 2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 1 + -5 2x = 1 + -5 Combine like terms: 1 + -5 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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