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Simplifying 7(x + 2) + 1 = 3(x + -14) + -4x Reorder the terms: 7(2 + x) + 1 = 3(x + -14) + -4x (2 * 7 + x * 7) + 1 = 3(x + -14) + -4x (14 + 7x) + 1 = 3(x + -14) + -4x Reorder the terms: 14 + 1 + 7x = 3(x + -14) + -4x Combine like terms: 14 + 1 = 15 15 + 7x = 3(x + -14) + -4x Reorder the terms: 15 + 7x = 3(-14 + x) + -4x 15 + 7x = (-14 * 3 + x * 3) + -4x 15 + 7x = (-42 + 3x) + -4x Combine like terms: 3x + -4x = -1x 15 + 7x = -42 + -1x Solving 15 + 7x = -42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 7x + x = -42 + -1x + x Combine like terms: 7x + x = 8x 15 + 8x = -42 + -1x + x Combine like terms: -1x + x = 0 15 + 8x = -42 + 0 15 + 8x = -42 Add '-15' to each side of the equation. 15 + -15 + 8x = -42 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -42 + -15 8x = -42 + -15 Combine like terms: -42 + -15 = -57 8x = -57 Divide each side by '8'. x = -7.125 Simplifying x = -7.125
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