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Simplifying 2x + 5 = 4(x + 1) + -3(x + 2) Reorder the terms: 5 + 2x = 4(x + 1) + -3(x + 2) Reorder the terms: 5 + 2x = 4(1 + x) + -3(x + 2) 5 + 2x = (1 * 4 + x * 4) + -3(x + 2) 5 + 2x = (4 + 4x) + -3(x + 2) Reorder the terms: 5 + 2x = 4 + 4x + -3(2 + x) 5 + 2x = 4 + 4x + (2 * -3 + x * -3) 5 + 2x = 4 + 4x + (-6 + -3x) Reorder the terms: 5 + 2x = 4 + -6 + 4x + -3x Combine like terms: 4 + -6 = -2 5 + 2x = -2 + 4x + -3x Combine like terms: 4x + -3x = 1x 5 + 2x = -2 + 1x Solving 5 + 2x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = -2 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = -2 + 0 5 + 1x = -2 Add '-5' to each side of the equation. 5 + -5 + 1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -2 + -5 1x = -2 + -5 Combine like terms: -2 + -5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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