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Simplifying 4(x + -2) + 5x = 2(3x + -8) Reorder the terms: 4(-2 + x) + 5x = 2(3x + -8) (-2 * 4 + x * 4) + 5x = 2(3x + -8) (-8 + 4x) + 5x = 2(3x + -8) Combine like terms: 4x + 5x = 9x -8 + 9x = 2(3x + -8) Reorder the terms: -8 + 9x = 2(-8 + 3x) -8 + 9x = (-8 * 2 + 3x * 2) -8 + 9x = (-16 + 6x) Solving -8 + 9x = -16 + 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. -8 + 9x + -6x = -16 + 6x + -6x Combine like terms: 9x + -6x = 3x -8 + 3x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 3x = -16 + 0 -8 + 3x = -16 Add '8' to each side of the equation. -8 + 8 + 3x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -16 + 8 3x = -16 + 8 Combine like terms: -16 + 8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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