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Simplifying 2 + 2(9x + 4) = 8x + -10(x + 3) Reorder the terms: 2 + 2(4 + 9x) = 8x + -10(x + 3) 2 + (4 * 2 + 9x * 2) = 8x + -10(x + 3) 2 + (8 + 18x) = 8x + -10(x + 3) Combine like terms: 2 + 8 = 10 10 + 18x = 8x + -10(x + 3) Reorder the terms: 10 + 18x = 8x + -10(3 + x) 10 + 18x = 8x + (3 * -10 + x * -10) 10 + 18x = 8x + (-30 + -10x) Reorder the terms: 10 + 18x = -30 + 8x + -10x Combine like terms: 8x + -10x = -2x 10 + 18x = -30 + -2x Solving 10 + 18x = -30 + -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. 10 + 18x + 2x = -30 + -2x + 2x Combine like terms: 18x + 2x = 20x 10 + 20x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 20x = -30 + 0 10 + 20x = -30 Add '-10' to each side of the equation. 10 + -10 + 20x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + 20x = -30 + -10 20x = -30 + -10 Combine like terms: -30 + -10 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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