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Simplifying 3(x + -2) + 5 = 4(x + 1) + x Reorder the terms: 3(-2 + x) + 5 = 4(x + 1) + x (-2 * 3 + x * 3) + 5 = 4(x + 1) + x (-6 + 3x) + 5 = 4(x + 1) + x Reorder the terms: -6 + 5 + 3x = 4(x + 1) + x Combine like terms: -6 + 5 = -1 -1 + 3x = 4(x + 1) + x Reorder the terms: -1 + 3x = 4(1 + x) + x -1 + 3x = (1 * 4 + x * 4) + x -1 + 3x = (4 + 4x) + x Combine like terms: 4x + x = 5x -1 + 3x = 4 + 5x Solving -1 + 3x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 3x + -5x = 4 + 5x + -5x Combine like terms: 3x + -5x = -2x -1 + -2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -2x = 4 + 0 -1 + -2x = 4 Add '1' to each side of the equation. -1 + 1 + -2x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 4 + 1 -2x = 4 + 1 Combine like terms: 4 + 1 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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