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Simplifying -4(2x + -5) + -1(7 + -3x) = 4(x + 3) Reorder the terms: -4(-5 + 2x) + -1(7 + -3x) = 4(x + 3) (-5 * -4 + 2x * -4) + -1(7 + -3x) = 4(x + 3) (20 + -8x) + -1(7 + -3x) = 4(x + 3) 20 + -8x + (7 * -1 + -3x * -1) = 4(x + 3) 20 + -8x + (-7 + 3x) = 4(x + 3) Reorder the terms: 20 + -7 + -8x + 3x = 4(x + 3) Combine like terms: 20 + -7 = 13 13 + -8x + 3x = 4(x + 3) Combine like terms: -8x + 3x = -5x 13 + -5x = 4(x + 3) Reorder the terms: 13 + -5x = 4(3 + x) 13 + -5x = (3 * 4 + x * 4) 13 + -5x = (12 + 4x) Solving 13 + -5x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + -5x + -4x = 12 + 4x + -4x Combine like terms: -5x + -4x = -9x 13 + -9x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -9x = 12 + 0 13 + -9x = 12 Add '-13' to each side of the equation. 13 + -13 + -9x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 12 + -13 -9x = 12 + -13 Combine like terms: 12 + -13 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111
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