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