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Simplifying 4(x + -2) = 6 + -2(-3x + 5) Reorder the terms: 4(-2 + x) = 6 + -2(-3x + 5) (-2 * 4 + x * 4) = 6 + -2(-3x + 5) (-8 + 4x) = 6 + -2(-3x + 5) Reorder the terms: -8 + 4x = 6 + -2(5 + -3x) -8 + 4x = 6 + (5 * -2 + -3x * -2) -8 + 4x = 6 + (-10 + 6x) Combine like terms: 6 + -10 = -4 -8 + 4x = -4 + 6x Solving -8 + 4x = -4 + 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 + 4x + -6x = -4 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = -4 + 0 -8 + -2x = -4 Add '8' to each side of the equation. -8 + 8 + -2x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -4 + 8 -2x = -4 + 8 Combine like terms: -4 + 8 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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