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Simplifying 5(x + 7) + -2(2x + -1) = 4(3 + -3x) Reorder the terms: 5(7 + x) + -2(2x + -1) = 4(3 + -3x) (7 * 5 + x * 5) + -2(2x + -1) = 4(3 + -3x) (35 + 5x) + -2(2x + -1) = 4(3 + -3x) Reorder the terms: 35 + 5x + -2(-1 + 2x) = 4(3 + -3x) 35 + 5x + (-1 * -2 + 2x * -2) = 4(3 + -3x) 35 + 5x + (2 + -4x) = 4(3 + -3x) Reorder the terms: 35 + 2 + 5x + -4x = 4(3 + -3x) Combine like terms: 35 + 2 = 37 37 + 5x + -4x = 4(3 + -3x) Combine like terms: 5x + -4x = 1x 37 + 1x = 4(3 + -3x) 37 + 1x = (3 * 4 + -3x * 4) 37 + 1x = (12 + -12x) Solving 37 + 1x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 37 + 1x + 12x = 12 + -12x + 12x Combine like terms: 1x + 12x = 13x 37 + 13x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 37 + 13x = 12 + 0 37 + 13x = 12 Add '-37' to each side of the equation. 37 + -37 + 13x = 12 + -37 Combine like terms: 37 + -37 = 0 0 + 13x = 12 + -37 13x = 12 + -37 Combine like terms: 12 + -37 = -25 13x = -25 Divide each side by '13'. x = -1.923076923 Simplifying x = -1.923076923
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