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Simplifying -4(3 + -8x) + 5x = 7x + -1(x + -3) (3 * -4 + -8x * -4) + 5x = 7x + -1(x + -3) (-12 + 32x) + 5x = 7x + -1(x + -3) Combine like terms: 32x + 5x = 37x -12 + 37x = 7x + -1(x + -3) Reorder the terms: -12 + 37x = 7x + -1(-3 + x) -12 + 37x = 7x + (-3 * -1 + x * -1) -12 + 37x = 7x + (3 + -1x) Reorder the terms: -12 + 37x = 3 + 7x + -1x Combine like terms: 7x + -1x = 6x -12 + 37x = 3 + 6x Solving -12 + 37x = 3 + 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. -12 + 37x + -6x = 3 + 6x + -6x Combine like terms: 37x + -6x = 31x -12 + 31x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 31x = 3 + 0 -12 + 31x = 3 Add '12' to each side of the equation. -12 + 12 + 31x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 31x = 3 + 12 31x = 3 + 12 Combine like terms: 3 + 12 = 15 31x = 15 Divide each side by '31'. x = 0.4838709677 Simplifying x = 0.4838709677
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