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Simplifying 6(x + 3) + -2 = -4(x + -4) Reorder the terms: 6(3 + x) + -2 = -4(x + -4) (3 * 6 + x * 6) + -2 = -4(x + -4) (18 + 6x) + -2 = -4(x + -4) Reorder the terms: 18 + -2 + 6x = -4(x + -4) Combine like terms: 18 + -2 = 16 16 + 6x = -4(x + -4) Reorder the terms: 16 + 6x = -4(-4 + x) 16 + 6x = (-4 * -4 + x * -4) 16 + 6x = (16 + -4x) Add '-16' to each side of the equation. 16 + -16 + 6x = 16 + -16 + -4x Combine like terms: 16 + -16 = 0 0 + 6x = 16 + -16 + -4x 6x = 16 + -16 + -4x Combine like terms: 16 + -16 = 0 6x = 0 + -4x 6x = -4x Solving 6x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6x + 4x = -4x + 4x Combine like terms: 6x + 4x = 10x 10x = -4x + 4x Combine like terms: -4x + 4x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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