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Simplifying 5(-2x + 3) + -6x + 6 = 2(x + 5) + -7 Reorder the terms: 5(3 + -2x) + -6x + 6 = 2(x + 5) + -7 (3 * 5 + -2x * 5) + -6x + 6 = 2(x + 5) + -7 (15 + -10x) + -6x + 6 = 2(x + 5) + -7 Reorder the terms: 15 + 6 + -10x + -6x = 2(x + 5) + -7 Combine like terms: 15 + 6 = 21 21 + -10x + -6x = 2(x + 5) + -7 Combine like terms: -10x + -6x = -16x 21 + -16x = 2(x + 5) + -7 Reorder the terms: 21 + -16x = 2(5 + x) + -7 21 + -16x = (5 * 2 + x * 2) + -7 21 + -16x = (10 + 2x) + -7 Reorder the terms: 21 + -16x = 10 + -7 + 2x Combine like terms: 10 + -7 = 3 21 + -16x = 3 + 2x Solving 21 + -16x = 3 + 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. 21 + -16x + -2x = 3 + 2x + -2x Combine like terms: -16x + -2x = -18x 21 + -18x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -18x = 3 + 0 21 + -18x = 3 Add '-21' to each side of the equation. 21 + -21 + -18x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -18x = 3 + -21 -18x = 3 + -21 Combine like terms: 3 + -21 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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