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Simplifying 5(2x + 10) + 20 = 2(x + -3) + 12 Reorder the terms: 5(10 + 2x) + 20 = 2(x + -3) + 12 (10 * 5 + 2x * 5) + 20 = 2(x + -3) + 12 (50 + 10x) + 20 = 2(x + -3) + 12 Reorder the terms: 50 + 20 + 10x = 2(x + -3) + 12 Combine like terms: 50 + 20 = 70 70 + 10x = 2(x + -3) + 12 Reorder the terms: 70 + 10x = 2(-3 + x) + 12 70 + 10x = (-3 * 2 + x * 2) + 12 70 + 10x = (-6 + 2x) + 12 Reorder the terms: 70 + 10x = -6 + 12 + 2x Combine like terms: -6 + 12 = 6 70 + 10x = 6 + 2x Solving 70 + 10x = 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. 70 + 10x + -2x = 6 + 2x + -2x Combine like terms: 10x + -2x = 8x 70 + 8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 70 + 8x = 6 + 0 70 + 8x = 6 Add '-70' to each side of the equation. 70 + -70 + 8x = 6 + -70 Combine like terms: 70 + -70 = 0 0 + 8x = 6 + -70 8x = 6 + -70 Combine like terms: 6 + -70 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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