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Simplifying 2(3x + -5) + -1(16x + -12) = 21 Reorder the terms: 2(-5 + 3x) + -1(16x + -12) = 21 (-5 * 2 + 3x * 2) + -1(16x + -12) = 21 (-10 + 6x) + -1(16x + -12) = 21 Reorder the terms: -10 + 6x + -1(-12 + 16x) = 21 -10 + 6x + (-12 * -1 + 16x * -1) = 21 -10 + 6x + (12 + -16x) = 21 Reorder the terms: -10 + 12 + 6x + -16x = 21 Combine like terms: -10 + 12 = 2 2 + 6x + -16x = 21 Combine like terms: 6x + -16x = -10x 2 + -10x = 21 Solving 2 + -10x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 21 + -2 -10x = 21 + -2 Combine like terms: 21 + -2 = 19 -10x = 19 Divide each side by '-10'. x = -1.9 Simplifying x = -1.9
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