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Simplifying 7 = 6(x + 3) + -5x Reorder the terms: 7 = 6(3 + x) + -5x 7 = (3 * 6 + x * 6) + -5x 7 = (18 + 6x) + -5x Combine like terms: 6x + -5x = 1x 7 = 18 + 1x Solving 7 = 18 + 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. 7 + -1x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -1x = 18 + 0 7 + -1x = 18 Add '-7' to each side of the equation. 7 + -7 + -1x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 18 + -7 -1x = 18 + -7 Combine like terms: 18 + -7 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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