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Simplifying 2(3x + -4) + 5 = 2(2 + 4x) + -5 Reorder the terms: 2(-4 + 3x) + 5 = 2(2 + 4x) + -5 (-4 * 2 + 3x * 2) + 5 = 2(2 + 4x) + -5 (-8 + 6x) + 5 = 2(2 + 4x) + -5 Reorder the terms: -8 + 5 + 6x = 2(2 + 4x) + -5 Combine like terms: -8 + 5 = -3 -3 + 6x = 2(2 + 4x) + -5 -3 + 6x = (2 * 2 + 4x * 2) + -5 -3 + 6x = (4 + 8x) + -5 Reorder the terms: -3 + 6x = 4 + -5 + 8x Combine like terms: 4 + -5 = -1 -3 + 6x = -1 + 8x Solving -3 + 6x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 6x + -8x = -1 + 8x + -8x Combine like terms: 6x + -8x = -2x -3 + -2x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -2x = -1 + 0 -3 + -2x = -1 Add '3' to each side of the equation. -3 + 3 + -2x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -1 + 3 -2x = -1 + 3 Combine like terms: -1 + 3 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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