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Simplifying 1(x + 7) + -5 = -3(x + 4) Reorder the terms: 1(7 + x) + -5 = -3(x + 4) (7 * 1 + x * 1) + -5 = -3(x + 4) (7 + 1x) + -5 = -3(x + 4) Reorder the terms: 7 + -5 + 1x = -3(x + 4) Combine like terms: 7 + -5 = 2 2 + 1x = -3(x + 4) Reorder the terms: 2 + 1x = -3(4 + x) 2 + 1x = (4 * -3 + x * -3) 2 + 1x = (-12 + -3x) Solving 2 + 1x = -12 + -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 + 1x + 3x = -12 + -3x + 3x Combine like terms: 1x + 3x = 4x 2 + 4x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 4x = -12 + 0 2 + 4x = -12 Add '-2' to each side of the equation. 2 + -2 + 4x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -12 + -2 4x = -12 + -2 Combine like terms: -12 + -2 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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