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