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Simplifying 7 + 2(3x + -4) = 8 + -3(2x + 1) Reorder the terms: 7 + 2(-4 + 3x) = 8 + -3(2x + 1) 7 + (-4 * 2 + 3x * 2) = 8 + -3(2x + 1) 7 + (-8 + 6x) = 8 + -3(2x + 1) Combine like terms: 7 + -8 = -1 -1 + 6x = 8 + -3(2x + 1) Reorder the terms: -1 + 6x = 8 + -3(1 + 2x) -1 + 6x = 8 + (1 * -3 + 2x * -3) -1 + 6x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -1 + 6x = 5 + -6x Solving -1 + 6x = 5 + -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. -1 + 6x + 6x = 5 + -6x + 6x Combine like terms: 6x + 6x = 12x -1 + 12x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 12x = 5 + 0 -1 + 12x = 5 Add '1' to each side of the equation. -1 + 1 + 12x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 5 + 1 12x = 5 + 1 Combine like terms: 5 + 1 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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