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Simplifying 3(2x + -3) + 1 = 2(x + 4) Reorder the terms: 3(-3 + 2x) + 1 = 2(x + 4) (-3 * 3 + 2x * 3) + 1 = 2(x + 4) (-9 + 6x) + 1 = 2(x + 4) Reorder the terms: -9 + 1 + 6x = 2(x + 4) Combine like terms: -9 + 1 = -8 -8 + 6x = 2(x + 4) Reorder the terms: -8 + 6x = 2(4 + x) -8 + 6x = (4 * 2 + x * 2) -8 + 6x = (8 + 2x) Solving -8 + 6x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 6x + -2x = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x -8 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 4x = 8 + 0 -8 + 4x = 8 Add '8' to each side of the equation. -8 + 8 + 4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 8 + 8 4x = 8 + 8 Combine like terms: 8 + 8 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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