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Simplifying 7(x + 5) + -3x = x + -7 Reorder the terms: 7(5 + x) + -3x = x + -7 (5 * 7 + x * 7) + -3x = x + -7 (35 + 7x) + -3x = x + -7 Combine like terms: 7x + -3x = 4x 35 + 4x = x + -7 Reorder the terms: 35 + 4x = -7 + x Solving 35 + 4x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + 4x + -1x = -7 + x + -1x Combine like terms: 4x + -1x = 3x 35 + 3x = -7 + x + -1x Combine like terms: x + -1x = 0 35 + 3x = -7 + 0 35 + 3x = -7 Add '-35' to each side of the equation. 35 + -35 + 3x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = -7 + -35 3x = -7 + -35 Combine like terms: -7 + -35 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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