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Simplifying 15(x + 3) + -8x + -12 = 13x + -42 Reorder the terms: 15(3 + x) + -8x + -12 = 13x + -42 (3 * 15 + x * 15) + -8x + -12 = 13x + -42 (45 + 15x) + -8x + -12 = 13x + -42 Reorder the terms: 45 + -12 + 15x + -8x = 13x + -42 Combine like terms: 45 + -12 = 33 33 + 15x + -8x = 13x + -42 Combine like terms: 15x + -8x = 7x 33 + 7x = 13x + -42 Reorder the terms: 33 + 7x = -42 + 13x Solving 33 + 7x = -42 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 33 + 7x + -13x = -42 + 13x + -13x Combine like terms: 7x + -13x = -6x 33 + -6x = -42 + 13x + -13x Combine like terms: 13x + -13x = 0 33 + -6x = -42 + 0 33 + -6x = -42 Add '-33' to each side of the equation. 33 + -33 + -6x = -42 + -33 Combine like terms: 33 + -33 = 0 0 + -6x = -42 + -33 -6x = -42 + -33 Combine like terms: -42 + -33 = -75 -6x = -75 Divide each side by '-6'. x = 12.5 Simplifying x = 12.5
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