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Simplifying 4(2x + 3) + -10 = 2(x + -3) + 20 Reorder the terms: 4(3 + 2x) + -10 = 2(x + -3) + 20 (3 * 4 + 2x * 4) + -10 = 2(x + -3) + 20 (12 + 8x) + -10 = 2(x + -3) + 20 Reorder the terms: 12 + -10 + 8x = 2(x + -3) + 20 Combine like terms: 12 + -10 = 2 2 + 8x = 2(x + -3) + 20 Reorder the terms: 2 + 8x = 2(-3 + x) + 20 2 + 8x = (-3 * 2 + x * 2) + 20 2 + 8x = (-6 + 2x) + 20 Reorder the terms: 2 + 8x = -6 + 20 + 2x Combine like terms: -6 + 20 = 14 2 + 8x = 14 + 2x Solving 2 + 8x = 14 + 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. 2 + 8x + -2x = 14 + 2x + -2x Combine like terms: 8x + -2x = 6x 2 + 6x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 6x = 14 + 0 2 + 6x = 14 Add '-2' to each side of the equation. 2 + -2 + 6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 14 + -2 6x = 14 + -2 Combine like terms: 14 + -2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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