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Simplifying 2(3x + -4) + 7 = -4(3x + -2) Reorder the terms: 2(-4 + 3x) + 7 = -4(3x + -2) (-4 * 2 + 3x * 2) + 7 = -4(3x + -2) (-8 + 6x) + 7 = -4(3x + -2) Reorder the terms: -8 + 7 + 6x = -4(3x + -2) Combine like terms: -8 + 7 = -1 -1 + 6x = -4(3x + -2) Reorder the terms: -1 + 6x = -4(-2 + 3x) -1 + 6x = (-2 * -4 + 3x * -4) -1 + 6x = (8 + -12x) Solving -1 + 6x = 8 + -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. -1 + 6x + 12x = 8 + -12x + 12x Combine like terms: 6x + 12x = 18x -1 + 18x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -1 + 18x = 8 + 0 -1 + 18x = 8 Add '1' to each side of the equation. -1 + 1 + 18x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 18x = 8 + 1 18x = 8 + 1 Combine like terms: 8 + 1 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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