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Simplifying 4(x + -2) + -6x = 5(2x + 4) Reorder the terms: 4(-2 + x) + -6x = 5(2x + 4) (-2 * 4 + x * 4) + -6x = 5(2x + 4) (-8 + 4x) + -6x = 5(2x + 4) Combine like terms: 4x + -6x = -2x -8 + -2x = 5(2x + 4) Reorder the terms: -8 + -2x = 5(4 + 2x) -8 + -2x = (4 * 5 + 2x * 5) -8 + -2x = (20 + 10x) Solving -8 + -2x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + -2x + -10x = 20 + 10x + -10x Combine like terms: -2x + -10x = -12x -8 + -12x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -12x = 20 + 0 -8 + -12x = 20 Add '8' to each side of the equation. -8 + 8 + -12x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 20 + 8 -12x = 20 + 8 Combine like terms: 20 + 8 = 28 -12x = 28 Divide each side by '-12'. x = -2.333333333 Simplifying x = -2.333333333
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