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Simplifying 5(2 + -1x) + 3(x + 6) = 10 + -4(6 + 2) * x (2 * 5 + -1x * 5) + 3(x + 6) = 10 + -4(6 + 2) * x (10 + -5x) + 3(x + 6) = 10 + -4(6 + 2) * x Reorder the terms: 10 + -5x + 3(6 + x) = 10 + -4(6 + 2) * x 10 + -5x + (6 * 3 + x * 3) = 10 + -4(6 + 2) * x 10 + -5x + (18 + 3x) = 10 + -4(6 + 2) * x Reorder the terms: 10 + 18 + -5x + 3x = 10 + -4(6 + 2) * x Combine like terms: 10 + 18 = 28 28 + -5x + 3x = 10 + -4(6 + 2) * x Combine like terms: -5x + 3x = -2x 28 + -2x = 10 + -4(6 + 2) * x Combine like terms: 6 + 2 = 8 28 + -2x = 10 + -4(8) * x Multiply -4 * 8 28 + -2x = 10 + -32x Solving 28 + -2x = 10 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 28 + -2x + 32x = 10 + -32x + 32x Combine like terms: -2x + 32x = 30x 28 + 30x = 10 + -32x + 32x Combine like terms: -32x + 32x = 0 28 + 30x = 10 + 0 28 + 30x = 10 Add '-28' to each side of the equation. 28 + -28 + 30x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 30x = 10 + -28 30x = 10 + -28 Combine like terms: 10 + -28 = -18 30x = -18 Divide each side by '30'. x = -0.6 Simplifying x = -0.6
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