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Simplifying 106 + -1(7x + 4) = 7(x + -6) + x Reorder the terms: 106 + -1(4 + 7x) = 7(x + -6) + x 106 + (4 * -1 + 7x * -1) = 7(x + -6) + x 106 + (-4 + -7x) = 7(x + -6) + x Combine like terms: 106 + -4 = 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 = -144 -15x = -144 Divide each side by '-15'. x = 9.6 Simplifying x = 9.6
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