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Simplifying 2(3x + -4) + 5 = 4(2x + 3) + -1 Reorder the terms: 2(-4 + 3x) + 5 = 4(2x + 3) + -1 (-4 * 2 + 3x * 2) + 5 = 4(2x + 3) + -1 (-8 + 6x) + 5 = 4(2x + 3) + -1 Reorder the terms: -8 + 5 + 6x = 4(2x + 3) + -1 Combine like terms: -8 + 5 = -3 -3 + 6x = 4(2x + 3) + -1 Reorder the terms: -3 + 6x = 4(3 + 2x) + -1 -3 + 6x = (3 * 4 + 2x * 4) + -1 -3 + 6x = (12 + 8x) + -1 Reorder the terms: -3 + 6x = 12 + -1 + 8x Combine like terms: 12 + -1 = 11 -3 + 6x = 11 + 8x Solving -3 + 6x = 11 + 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 = 11 + 8x + -8x Combine like terms: 6x + -8x = -2x -3 + -2x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -2x = 11 + 0 -3 + -2x = 11 Add '3' to each side of the equation. -3 + 3 + -2x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 11 + 3 -2x = 11 + 3 Combine like terms: 11 + 3 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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