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Simplifying 7(2 + -3x) + -3(4 + -5x) = -1(1 + -1x) (2 * 7 + -3x * 7) + -3(4 + -5x) = -1(1 + -1x) (14 + -21x) + -3(4 + -5x) = -1(1 + -1x) 14 + -21x + (4 * -3 + -5x * -3) = -1(1 + -1x) 14 + -21x + (-12 + 15x) = -1(1 + -1x) Reorder the terms: 14 + -12 + -21x + 15x = -1(1 + -1x) Combine like terms: 14 + -12 = 2 2 + -21x + 15x = -1(1 + -1x) Combine like terms: -21x + 15x = -6x 2 + -6x = -1(1 + -1x) 2 + -6x = (1 * -1 + -1x * -1) 2 + -6x = (-1 + 1x) Solving 2 + -6x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -6x + -1x = -1 + 1x + -1x Combine like terms: -6x + -1x = -7x 2 + -7x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + -7x = -1 + 0 2 + -7x = -1 Add '-2' to each side of the equation. 2 + -2 + -7x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -1 + -2 -7x = -1 + -2 Combine like terms: -1 + -2 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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