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Simplifying 10x + -3(x + 4) = 5(2x + 9) Reorder the terms: 10x + -3(4 + x) = 5(2x + 9) 10x + (4 * -3 + x * -3) = 5(2x + 9) 10x + (-12 + -3x) = 5(2x + 9) Reorder the terms: -12 + 10x + -3x = 5(2x + 9) Combine like terms: 10x + -3x = 7x -12 + 7x = 5(2x + 9) Reorder the terms: -12 + 7x = 5(9 + 2x) -12 + 7x = (9 * 5 + 2x * 5) -12 + 7x = (45 + 10x) Solving -12 + 7x = 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 + 7x + -10x = 45 + 10x + -10x Combine like terms: 7x + -10x = -3x -12 + -3x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -3x = 45 + 0 -12 + -3x = 45 Add '12' to each side of the equation. -12 + 12 + -3x = 45 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 45 + 12 -3x = 45 + 12 Combine like terms: 45 + 12 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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