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Simplifying 6x + -4 + -1(3 + -2x) = 5(x + -4) + -10 6x + -4 + (3 * -1 + -2x * -1) = 5(x + -4) + -10 6x + -4 + (-3 + 2x) = 5(x + -4) + -10 Reorder the terms: -4 + -3 + 6x + 2x = 5(x + -4) + -10 Combine like terms: -4 + -3 = -7 -7 + 6x + 2x = 5(x + -4) + -10 Combine like terms: 6x + 2x = 8x -7 + 8x = 5(x + -4) + -10 Reorder the terms: -7 + 8x = 5(-4 + x) + -10 -7 + 8x = (-4 * 5 + x * 5) + -10 -7 + 8x = (-20 + 5x) + -10 Reorder the terms: -7 + 8x = -20 + -10 + 5x Combine like terms: -20 + -10 = -30 -7 + 8x = -30 + 5x Solving -7 + 8x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 8x + -5x = -30 + 5x + -5x Combine like terms: 8x + -5x = 3x -7 + 3x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 3x = -30 + 0 -7 + 3x = -30 Add '7' to each side of the equation. -7 + 7 + 3x = -30 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -30 + 7 3x = -30 + 7 Combine like terms: -30 + 7 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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