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Simplifying 1(x + -3) + -7(x + -2) + (x + -4) = 2x + 1 Reorder the terms: 1(-3 + x) + -7(x + -2) + (x + -4) = 2x + 1 (-3 * 1 + x * 1) + -7(x + -2) + (x + -4) = 2x + 1 (-3 + 1x) + -7(x + -2) + (x + -4) = 2x + 1 Reorder the terms: -3 + 1x + -7(-2 + x) + (x + -4) = 2x + 1 -3 + 1x + (-2 * -7 + x * -7) + (x + -4) = 2x + 1 -3 + 1x + (14 + -7x) + (x + -4) = 2x + 1 Reorder the terms: -3 + 1x + 14 + -7x + (-4 + x) = 2x + 1 Remove parenthesis around (-4 + x) -3 + 1x + 14 + -7x + -4 + x = 2x + 1 Reorder the terms: -3 + 14 + -4 + 1x + -7x + x = 2x + 1 Combine like terms: -3 + 14 = 11 11 + -4 + 1x + -7x + x = 2x + 1 Combine like terms: 11 + -4 = 7 7 + 1x + -7x + x = 2x + 1 Combine like terms: 1x + -7x = -6x 7 + -6x + x = 2x + 1 Combine like terms: -6x + x = -5x 7 + -5x = 2x + 1 Reorder the terms: 7 + -5x = 1 + 2x Solving 7 + -5x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -5x + -2x = 1 + 2x + -2x Combine like terms: -5x + -2x = -7x 7 + -7x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -7x = 1 + 0 7 + -7x = 1 Add '-7' to each side of the equation. 7 + -7 + -7x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 1 + -7 -7x = 1 + -7 Combine like terms: 1 + -7 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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