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Simplifying 5(2x + 6) + 3(3x + -4) = -20 Reorder the terms: 5(6 + 2x) + 3(3x + -4) = -20 (6 * 5 + 2x * 5) + 3(3x + -4) = -20 (30 + 10x) + 3(3x + -4) = -20 Reorder the terms: 30 + 10x + 3(-4 + 3x) = -20 30 + 10x + (-4 * 3 + 3x * 3) = -20 30 + 10x + (-12 + 9x) = -20 Reorder the terms: 30 + -12 + 10x + 9x = -20 Combine like terms: 30 + -12 = 18 18 + 10x + 9x = -20 Combine like terms: 10x + 9x = 19x 18 + 19x = -20 Solving 18 + 19x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 19x = -20 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = -20 + -18 19x = -20 + -18 Combine like terms: -20 + -18 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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