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Simplifying 2(x + -4) = 6x + 3 + -3(-2x + -1) Reorder the terms: 2(-4 + x) = 6x + 3 + -3(-2x + -1) (-4 * 2 + x * 2) = 6x + 3 + -3(-2x + -1) (-8 + 2x) = 6x + 3 + -3(-2x + -1) Reorder the terms: -8 + 2x = 6x + 3 + -3(-1 + -2x) -8 + 2x = 6x + 3 + (-1 * -3 + -2x * -3) -8 + 2x = 6x + 3 + (3 + 6x) Reorder the terms: -8 + 2x = 3 + 3 + 6x + 6x Combine like terms: 3 + 3 = 6 -8 + 2x = 6 + 6x + 6x Combine like terms: 6x + 6x = 12x -8 + 2x = 6 + 12x Solving -8 + 2x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 2x + -12x = 6 + 12x + -12x Combine like terms: 2x + -12x = -10x -8 + -10x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -10x = 6 + 0 -8 + -10x = 6 Add '8' to each side of the equation. -8 + 8 + -10x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 6 + 8 -10x = 6 + 8 Combine like terms: 6 + 8 = 14 -10x = 14 Divide each side by '-10'. x = -1.4 Simplifying x = -1.4
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