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Simplifying 3(x + 1) = 7(x + -2) + -5 Reorder the terms: 3(1 + x) = 7(x + -2) + -5 (1 * 3 + x * 3) = 7(x + -2) + -5 (3 + 3x) = 7(x + -2) + -5 Reorder the terms: 3 + 3x = 7(-2 + x) + -5 3 + 3x = (-2 * 7 + x * 7) + -5 3 + 3x = (-14 + 7x) + -5 Reorder the terms: 3 + 3x = -14 + -5 + 7x Combine like terms: -14 + -5 = -19 3 + 3x = -19 + 7x Solving 3 + 3x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 3x + -7x = -19 + 7x + -7x Combine like terms: 3x + -7x = -4x 3 + -4x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -4x = -19 + 0 3 + -4x = -19 Add '-3' to each side of the equation. 3 + -3 + -4x = -19 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -19 + -3 -4x = -19 + -3 Combine like terms: -19 + -3 = -22 -4x = -22 Divide each side by '-4'. x = 5.5 Simplifying x = 5.5
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