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Simplifying 13x + -12 + 5x = 6(5x + -3) + 3 Reorder the terms: -12 + 13x + 5x = 6(5x + -3) + 3 Combine like terms: 13x + 5x = 18x -12 + 18x = 6(5x + -3) + 3 Reorder the terms: -12 + 18x = 6(-3 + 5x) + 3 -12 + 18x = (-3 * 6 + 5x * 6) + 3 -12 + 18x = (-18 + 30x) + 3 Reorder the terms: -12 + 18x = -18 + 3 + 30x Combine like terms: -18 + 3 = -15 -12 + 18x = -15 + 30x Solving -12 + 18x = -15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -12 + 18x + -30x = -15 + 30x + -30x Combine like terms: 18x + -30x = -12x -12 + -12x = -15 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + -12x = -15 + 0 -12 + -12x = -15 Add '12' to each side of the equation. -12 + 12 + -12x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = -15 + 12 -12x = -15 + 12 Combine like terms: -15 + 12 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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