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Simplifying -2(x + -3) + -1(4x + -5) + -1(2x + 1) = 6x + -7 Reorder the terms: -2(-3 + x) + -1(4x + -5) + -1(2x + 1) = 6x + -7 (-3 * -2 + x * -2) + -1(4x + -5) + -1(2x + 1) = 6x + -7 (6 + -2x) + -1(4x + -5) + -1(2x + 1) = 6x + -7 Reorder the terms: 6 + -2x + -1(-5 + 4x) + -1(2x + 1) = 6x + -7 6 + -2x + (-5 * -1 + 4x * -1) + -1(2x + 1) = 6x + -7 6 + -2x + (5 + -4x) + -1(2x + 1) = 6x + -7 Reorder the terms: 6 + -2x + 5 + -4x + -1(1 + 2x) = 6x + -7 6 + -2x + 5 + -4x + (1 * -1 + 2x * -1) = 6x + -7 6 + -2x + 5 + -4x + (-1 + -2x) = 6x + -7 Reorder the terms: 6 + 5 + -1 + -2x + -4x + -2x = 6x + -7 Combine like terms: 6 + 5 = 11 11 + -1 + -2x + -4x + -2x = 6x + -7 Combine like terms: 11 + -1 = 10 10 + -2x + -4x + -2x = 6x + -7 Combine like terms: -2x + -4x = -6x 10 + -6x + -2x = 6x + -7 Combine like terms: -6x + -2x = -8x 10 + -8x = 6x + -7 Reorder the terms: 10 + -8x = -7 + 6x Solving 10 + -8x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + -8x + -6x = -7 + 6x + -6x Combine like terms: -8x + -6x = -14x 10 + -14x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -14x = -7 + 0 10 + -14x = -7 Add '-10' to each side of the equation. 10 + -10 + -14x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -7 + -10 -14x = -7 + -10 Combine like terms: -7 + -10 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714
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