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Simplifying 2x + -5 = 4(3x + 1) + -2 Reorder the terms: -5 + 2x = 4(3x + 1) + -2 Reorder the terms: -5 + 2x = 4(1 + 3x) + -2 -5 + 2x = (1 * 4 + 3x * 4) + -2 -5 + 2x = (4 + 12x) + -2 Reorder the terms: -5 + 2x = 4 + -2 + 12x Combine like terms: 4 + -2 = 2 -5 + 2x = 2 + 12x Solving -5 + 2x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 2x + -12x = 2 + 12x + -12x Combine like terms: 2x + -12x = -10x -5 + -10x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -10x = 2 + 0 -5 + -10x = 2 Add '5' to each side of the equation. -5 + 5 + -10x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 2 + 5 -10x = 2 + 5 Combine like terms: 2 + 5 = 7 -10x = 7 Divide each side by '-10'. x = -0.7 Simplifying x = -0.7
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