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Simplifying 130 = -6x + 7(x + 17) Reorder the terms: 130 = -6x + 7(17 + x) 130 = -6x + (17 * 7 + x * 7) 130 = -6x + (119 + 7x) Reorder the terms: 130 = 119 + -6x + 7x Combine like terms: -6x + 7x = 1x 130 = 119 + 1x Solving 130 = 119 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 130 + -1x = 119 + 1x + -1x Combine like terms: 1x + -1x = 0 130 + -1x = 119 + 0 130 + -1x = 119 Add '-130' to each side of the equation. 130 + -130 + -1x = 119 + -130 Combine like terms: 130 + -130 = 0 0 + -1x = 119 + -130 -1x = 119 + -130 Combine like terms: 119 + -130 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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