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Simplifying 4(x + -2) + -8 = -5(x + -3) Reorder the terms: 4(-2 + x) + -8 = -5(x + -3) (-2 * 4 + x * 4) + -8 = -5(x + -3) (-8 + 4x) + -8 = -5(x + -3) Reorder the terms: -8 + -8 + 4x = -5(x + -3) Combine like terms: -8 + -8 = -16 -16 + 4x = -5(x + -3) Reorder the terms: -16 + 4x = -5(-3 + x) -16 + 4x = (-3 * -5 + x * -5) -16 + 4x = (15 + -5x) Solving -16 + 4x = 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. -16 + 4x + 5x = 15 + -5x + 5x Combine like terms: 4x + 5x = 9x -16 + 9x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 9x = 15 + 0 -16 + 9x = 15 Add '16' to each side of the equation. -16 + 16 + 9x = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 15 + 16 9x = 15 + 16 Combine like terms: 15 + 16 = 31 9x = 31 Divide each side by '9'. x = 3.444444444 Simplifying x = 3.444444444
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