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Simplifying -4(8x + -6) + -2 = 5(x + -3) Reorder the terms: -4(-6 + 8x) + -2 = 5(x + -3) (-6 * -4 + 8x * -4) + -2 = 5(x + -3) (24 + -32x) + -2 = 5(x + -3) Reorder the terms: 24 + -2 + -32x = 5(x + -3) Combine like terms: 24 + -2 = 22 22 + -32x = 5(x + -3) Reorder the terms: 22 + -32x = 5(-3 + x) 22 + -32x = (-3 * 5 + x * 5) 22 + -32x = (-15 + 5x) Solving 22 + -32x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + -32x + -5x = -15 + 5x + -5x Combine like terms: -32x + -5x = -37x 22 + -37x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -37x = -15 + 0 22 + -37x = -15 Add '-22' to each side of the equation. 22 + -22 + -37x = -15 + -22 Combine like terms: 22 + -22 = 0 0 + -37x = -15 + -22 -37x = -15 + -22 Combine like terms: -15 + -22 = -37 -37x = -37 Divide each side by '-37'. x = 1 Simplifying x = 1
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