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Simplifying 2(x + 3) + -10 = 6(32 + -3x) Reorder the terms: 2(3 + x) + -10 = 6(32 + -3x) (3 * 2 + x * 2) + -10 = 6(32 + -3x) (6 + 2x) + -10 = 6(32 + -3x) Reorder the terms: 6 + -10 + 2x = 6(32 + -3x) Combine like terms: 6 + -10 = -4 -4 + 2x = 6(32 + -3x) -4 + 2x = (32 * 6 + -3x * 6) -4 + 2x = (192 + -18x) Solving -4 + 2x = 192 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -4 + 2x + 18x = 192 + -18x + 18x Combine like terms: 2x + 18x = 20x -4 + 20x = 192 + -18x + 18x Combine like terms: -18x + 18x = 0 -4 + 20x = 192 + 0 -4 + 20x = 192 Add '4' to each side of the equation. -4 + 4 + 20x = 192 + 4 Combine like terms: -4 + 4 = 0 0 + 20x = 192 + 4 20x = 192 + 4 Combine like terms: 192 + 4 = 196 20x = 196 Divide each side by '20'. x = 9.8 Simplifying x = 9.8
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