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Simplifying -13x + 12 + -11 + 15x = 4(3x + -7) + -1 Reorder the terms: 12 + -11 + -13x + 15x = 4(3x + -7) + -1 Combine like terms: 12 + -11 = 1 1 + -13x + 15x = 4(3x + -7) + -1 Combine like terms: -13x + 15x = 2x 1 + 2x = 4(3x + -7) + -1 Reorder the terms: 1 + 2x = 4(-7 + 3x) + -1 1 + 2x = (-7 * 4 + 3x * 4) + -1 1 + 2x = (-28 + 12x) + -1 Reorder the terms: 1 + 2x = -28 + -1 + 12x Combine like terms: -28 + -1 = -29 1 + 2x = -29 + 12x Solving 1 + 2x = -29 + 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. 1 + 2x + -12x = -29 + 12x + -12x Combine like terms: 2x + -12x = -10x 1 + -10x = -29 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -10x = -29 + 0 1 + -10x = -29 Add '-1' to each side of the equation. 1 + -1 + -10x = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = -29 + -1 -10x = -29 + -1 Combine like terms: -29 + -1 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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