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Simplifying 6(1 + -1x) + -4(2 + 3x) = 10x + 7 (1 * 6 + -1x * 6) + -4(2 + 3x) = 10x + 7 (6 + -6x) + -4(2 + 3x) = 10x + 7 6 + -6x + (2 * -4 + 3x * -4) = 10x + 7 6 + -6x + (-8 + -12x) = 10x + 7 Reorder the terms: 6 + -8 + -6x + -12x = 10x + 7 Combine like terms: 6 + -8 = -2 -2 + -6x + -12x = 10x + 7 Combine like terms: -6x + -12x = -18x -2 + -18x = 10x + 7 Reorder the terms: -2 + -18x = 7 + 10x Solving -2 + -18x = 7 + 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. -2 + -18x + -10x = 7 + 10x + -10x Combine like terms: -18x + -10x = -28x -2 + -28x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -28x = 7 + 0 -2 + -28x = 7 Add '2' to each side of the equation. -2 + 2 + -28x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -28x = 7 + 2 -28x = 7 + 2 Combine like terms: 7 + 2 = 9 -28x = 9 Divide each side by '-28'. x = -0.3214285714 Simplifying x = -0.3214285714
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