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Simplifying 13x + -5 = 4(3x + 3) + -7 Reorder the terms: -5 + 13x = 4(3x + 3) + -7 Reorder the terms: -5 + 13x = 4(3 + 3x) + -7 -5 + 13x = (3 * 4 + 3x * 4) + -7 -5 + 13x = (12 + 12x) + -7 Reorder the terms: -5 + 13x = 12 + -7 + 12x Combine like terms: 12 + -7 = 5 -5 + 13x = 5 + 12x Solving -5 + 13x = 5 + 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 + 13x + -12x = 5 + 12x + -12x Combine like terms: 13x + -12x = 1x -5 + 1x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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