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Simplifying -3(6x + -5) + 7 = -2x + 6 Reorder the terms: -3(-5 + 6x) + 7 = -2x + 6 (-5 * -3 + 6x * -3) + 7 = -2x + 6 (15 + -18x) + 7 = -2x + 6 Reorder the terms: 15 + 7 + -18x = -2x + 6 Combine like terms: 15 + 7 = 22 22 + -18x = -2x + 6 Reorder the terms: 22 + -18x = 6 + -2x Solving 22 + -18x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 22 + -18x + 2x = 6 + -2x + 2x Combine like terms: -18x + 2x = -16x 22 + -16x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + -16x = 6 + 0 22 + -16x = 6 Add '-22' to each side of the equation. 22 + -22 + -16x = 6 + -22 Combine like terms: 22 + -22 = 0 0 + -16x = 6 + -22 -16x = 6 + -22 Combine like terms: 6 + -22 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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