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Simplifying 3(2x + -4) + 8x = 4(3x + -4) + 5x + 1 Reorder the terms: 3(-4 + 2x) + 8x = 4(3x + -4) + 5x + 1 (-4 * 3 + 2x * 3) + 8x = 4(3x + -4) + 5x + 1 (-12 + 6x) + 8x = 4(3x + -4) + 5x + 1 Combine like terms: 6x + 8x = 14x -12 + 14x = 4(3x + -4) + 5x + 1 Reorder the terms: -12 + 14x = 4(-4 + 3x) + 5x + 1 -12 + 14x = (-4 * 4 + 3x * 4) + 5x + 1 -12 + 14x = (-16 + 12x) + 5x + 1 Reorder the terms: -12 + 14x = -16 + 1 + 12x + 5x Combine like terms: -16 + 1 = -15 -12 + 14x = -15 + 12x + 5x Combine like terms: 12x + 5x = 17x -12 + 14x = -15 + 17x Solving -12 + 14x = -15 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -12 + 14x + -17x = -15 + 17x + -17x Combine like terms: 14x + -17x = -3x -12 + -3x = -15 + 17x + -17x Combine like terms: 17x + -17x = 0 -12 + -3x = -15 + 0 -12 + -3x = -15 Add '12' to each side of the equation. -12 + 12 + -3x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -15 + 12 -3x = -15 + 12 Combine like terms: -15 + 12 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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