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Simplifying 13x + -10 = 4(3x + 4) + -6 Reorder the terms: -10 + 13x = 4(3x + 4) + -6 Reorder the terms: -10 + 13x = 4(4 + 3x) + -6 -10 + 13x = (4 * 4 + 3x * 4) + -6 -10 + 13x = (16 + 12x) + -6 Reorder the terms: -10 + 13x = 16 + -6 + 12x Combine like terms: 16 + -6 = 10 -10 + 13x = 10 + 12x Solving -10 + 13x = 10 + 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 + 13x + -12x = 10 + 12x + -12x Combine like terms: 13x + -12x = 1x -10 + 1x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 1x = 10 + 0 -10 + 1x = 10 Add '10' to each side of the equation. -10 + 10 + 1x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 10 + 10 1x = 10 + 10 Combine like terms: 10 + 10 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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