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Simplifying 130 + -1(7x + 14) = 7(x + 8) + x Reorder the terms: 130 + -1(14 + 7x) = 7(x + 8) + x 130 + (14 * -1 + 7x * -1) = 7(x + 8) + x 130 + (-14 + -7x) = 7(x + 8) + x Combine like terms: 130 + -14 = 116 116 + -7x = 7(x + 8) + x Reorder the terms: 116 + -7x = 7(8 + x) + x 116 + -7x = (8 * 7 + x * 7) + x 116 + -7x = (56 + 7x) + x Combine like terms: 7x + x = 8x 116 + -7x = 56 + 8x Solving 116 + -7x = 56 + 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. 116 + -7x + -8x = 56 + 8x + -8x Combine like terms: -7x + -8x = -15x 116 + -15x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 116 + -15x = 56 + 0 116 + -15x = 56 Add '-116' to each side of the equation. 116 + -116 + -15x = 56 + -116 Combine like terms: 116 + -116 = 0 0 + -15x = 56 + -116 -15x = 56 + -116 Combine like terms: 56 + -116 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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