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Simplifying -2x + 3 = 7(x + -6) Reorder the terms: 3 + -2x = 7(x + -6) Reorder the terms: 3 + -2x = 7(-6 + x) 3 + -2x = (-6 * 7 + x * 7) 3 + -2x = (-42 + 7x) Solving 3 + -2x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + -2x + -7x = -42 + 7x + -7x Combine like terms: -2x + -7x = -9x 3 + -9x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -9x = -42 + 0 3 + -9x = -42 Add '-3' to each side of the equation. 3 + -3 + -9x = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -42 + -3 -9x = -42 + -3 Combine like terms: -42 + -3 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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