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Simplifying 7(2x + 3) + 6(x + -2) = 10x + 2 Reorder the terms: 7(3 + 2x) + 6(x + -2) = 10x + 2 (3 * 7 + 2x * 7) + 6(x + -2) = 10x + 2 (21 + 14x) + 6(x + -2) = 10x + 2 Reorder the terms: 21 + 14x + 6(-2 + x) = 10x + 2 21 + 14x + (-2 * 6 + x * 6) = 10x + 2 21 + 14x + (-12 + 6x) = 10x + 2 Reorder the terms: 21 + -12 + 14x + 6x = 10x + 2 Combine like terms: 21 + -12 = 9 9 + 14x + 6x = 10x + 2 Combine like terms: 14x + 6x = 20x 9 + 20x = 10x + 2 Reorder the terms: 9 + 20x = 2 + 10x Solving 9 + 20x = 2 + 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. 9 + 20x + -10x = 2 + 10x + -10x Combine like terms: 20x + -10x = 10x 9 + 10x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + 10x = 2 + 0 9 + 10x = 2 Add '-9' to each side of the equation. 9 + -9 + 10x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 2 + -9 10x = 2 + -9 Combine like terms: 2 + -9 = -7 10x = -7 Divide each side by '10'. x = -0.7 Simplifying x = -0.7
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