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Simplifying 10x + -3(6x + 4) = 5(2x + 9) Reorder the terms: 10x + -3(4 + 6x) = 5(2x + 9) 10x + (4 * -3 + 6x * -3) = 5(2x + 9) 10x + (-12 + -18x) = 5(2x + 9) Reorder the terms: -12 + 10x + -18x = 5(2x + 9) Combine like terms: 10x + -18x = -8x -12 + -8x = 5(2x + 9) Reorder the terms: -12 + -8x = 5(9 + 2x) -12 + -8x = (9 * 5 + 2x * 5) -12 + -8x = (45 + 10x) Solving -12 + -8x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + -8x + -10x = 45 + 10x + -10x Combine like terms: -8x + -10x = -18x -12 + -18x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -18x = 45 + 0 -12 + -18x = 45 Add '12' to each side of the equation. -12 + 12 + -18x = 45 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = 45 + 12 -18x = 45 + 12 Combine like terms: 45 + 12 = 57 -18x = 57 Divide each side by '-18'. x = -3.166666667 Simplifying x = -3.166666667
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