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Simplifying 3x + -4(2x + -1) = 7(x + -2) + x + 10 Reorder the terms: 3x + -4(-1 + 2x) = 7(x + -2) + x + 10 3x + (-1 * -4 + 2x * -4) = 7(x + -2) + x + 10 3x + (4 + -8x) = 7(x + -2) + x + 10 Reorder the terms: 4 + 3x + -8x = 7(x + -2) + x + 10 Combine like terms: 3x + -8x = -5x 4 + -5x = 7(x + -2) + x + 10 Reorder the terms: 4 + -5x = 7(-2 + x) + x + 10 4 + -5x = (-2 * 7 + x * 7) + x + 10 4 + -5x = (-14 + 7x) + x + 10 Reorder the terms: 4 + -5x = -14 + 10 + 7x + x Combine like terms: -14 + 10 = -4 4 + -5x = -4 + 7x + x Combine like terms: 7x + x = 8x 4 + -5x = -4 + 8x Solving 4 + -5x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -5x + -8x = -4 + 8x + -8x Combine like terms: -5x + -8x = -13x 4 + -13x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -13x = -4 + 0 4 + -13x = -4 Add '-4' to each side of the equation. 4 + -4 + -13x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = -4 + -4 -13x = -4 + -4 Combine like terms: -4 + -4 = -8 -13x = -8 Divide each side by '-13'. x = 0.6153846154 Simplifying x = 0.6153846154
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