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Simplifying 5(-3 + 2x) + -1 = 4(2x + 4) + 12x (-3 * 5 + 2x * 5) + -1 = 4(2x + 4) + 12x (-15 + 10x) + -1 = 4(2x + 4) + 12x Reorder the terms: -15 + -1 + 10x = 4(2x + 4) + 12x Combine like terms: -15 + -1 = -16 -16 + 10x = 4(2x + 4) + 12x Reorder the terms: -16 + 10x = 4(4 + 2x) + 12x -16 + 10x = (4 * 4 + 2x * 4) + 12x -16 + 10x = (16 + 8x) + 12x Combine like terms: 8x + 12x = 20x -16 + 10x = 16 + 20x Solving -16 + 10x = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -16 + 10x + -20x = 16 + 20x + -20x Combine like terms: 10x + -20x = -10x -16 + -10x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 -16 + -10x = 16 + 0 -16 + -10x = 16 Add '16' to each side of the equation. -16 + 16 + -10x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 16 + 16 -10x = 16 + 16 Combine like terms: 16 + 16 = 32 -10x = 32 Divide each side by '-10'. x = -3.2 Simplifying x = -3.2
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