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Simplifying 5x + -5 = 4(3x + 3) + -10 Reorder the terms: -5 + 5x = 4(3x + 3) + -10 Reorder the terms: -5 + 5x = 4(3 + 3x) + -10 -5 + 5x = (3 * 4 + 3x * 4) + -10 -5 + 5x = (12 + 12x) + -10 Reorder the terms: -5 + 5x = 12 + -10 + 12x Combine like terms: 12 + -10 = 2 -5 + 5x = 2 + 12x Solving -5 + 5x = 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 + 5x + -12x = 2 + 12x + -12x Combine like terms: 5x + -12x = -7x -5 + -7x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -7x = 2 + 0 -5 + -7x = 2 Add '5' to each side of the equation. -5 + 5 + -7x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 2 + 5 -7x = 2 + 5 Combine like terms: 2 + 5 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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