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Simplifying 114 + -1(7x + 12) = 7(x + 6) + x Reorder the terms: 114 + -1(12 + 7x) = 7(x + 6) + x 114 + (12 * -1 + 7x * -1) = 7(x + 6) + x 114 + (-12 + -7x) = 7(x + 6) + x Combine like terms: 114 + -12 = 102 102 + -7x = 7(x + 6) + x Reorder the terms: 102 + -7x = 7(6 + x) + x 102 + -7x = (6 * 7 + x * 7) + x 102 + -7x = (42 + 7x) + x Combine like terms: 7x + x = 8x 102 + -7x = 42 + 8x Solving 102 + -7x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 102 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x 102 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 102 + -15x = 42 + 0 102 + -15x = 42 Add '-102' to each side of the equation. 102 + -102 + -15x = 42 + -102 Combine like terms: 102 + -102 = 0 0 + -15x = 42 + -102 -15x = 42 + -102 Combine like terms: 42 + -102 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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