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Simplifying 2x + -10 = 4(3x + -1) + 4 Reorder the terms: -10 + 2x = 4(3x + -1) + 4 Reorder the terms: -10 + 2x = 4(-1 + 3x) + 4 -10 + 2x = (-1 * 4 + 3x * 4) + 4 -10 + 2x = (-4 + 12x) + 4 Reorder the terms: -10 + 2x = -4 + 4 + 12x Combine like terms: -4 + 4 = 0 -10 + 2x = 0 + 12x -10 + 2x = 12x Solving -10 + 2x = 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. -10 + 2x + -12x = 12x + -12x Combine like terms: 2x + -12x = -10x -10 + -10x = 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -10x = 0 Add '10' to each side of the equation. -10 + 10 + -10x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 0 + 10 -10x = 0 + 10 Combine like terms: 0 + 10 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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