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Simplifying 5(x + 1) + -7 = 3(x + -2) + -4 Reorder the terms: 5(1 + x) + -7 = 3(x + -2) + -4 (1 * 5 + x * 5) + -7 = 3(x + -2) + -4 (5 + 5x) + -7 = 3(x + -2) + -4 Reorder the terms: 5 + -7 + 5x = 3(x + -2) + -4 Combine like terms: 5 + -7 = -2 -2 + 5x = 3(x + -2) + -4 Reorder the terms: -2 + 5x = 3(-2 + x) + -4 -2 + 5x = (-2 * 3 + x * 3) + -4 -2 + 5x = (-6 + 3x) + -4 Reorder the terms: -2 + 5x = -6 + -4 + 3x Combine like terms: -6 + -4 = -10 -2 + 5x = -10 + 3x Solving -2 + 5x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 5x + -3x = -10 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = -10 + 0 -2 + 2x = -10 Add '2' to each side of the equation. -2 + 2 + 2x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -10 + 2 2x = -10 + 2 Combine like terms: -10 + 2 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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