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Simplifying 136 + -1(7x + 4) = 7(x + 6) + x Reorder the terms: 136 + -1(4 + 7x) = 7(x + 6) + x 136 + (4 * -1 + 7x * -1) = 7(x + 6) + x 136 + (-4 + -7x) = 7(x + 6) + x Combine like terms: 136 + -4 = 132 132 + -7x = 7(x + 6) + x Reorder the terms: 132 + -7x = 7(6 + x) + x 132 + -7x = (6 * 7 + x * 7) + x 132 + -7x = (42 + 7x) + x Combine like terms: 7x + x = 8x 132 + -7x = 42 + 8x Solving 132 + -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. 132 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x 132 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 132 + -15x = 42 + 0 132 + -15x = 42 Add '-132' to each side of the equation. 132 + -132 + -15x = 42 + -132 Combine like terms: 132 + -132 = 0 0 + -15x = 42 + -132 -15x = 42 + -132 Combine like terms: 42 + -132 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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