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Simplifying 15x + -126 = 4(3x + -6) + 8(2x + 9) Reorder the terms: -126 + 15x = 4(3x + -6) + 8(2x + 9) Reorder the terms: -126 + 15x = 4(-6 + 3x) + 8(2x + 9) -126 + 15x = (-6 * 4 + 3x * 4) + 8(2x + 9) -126 + 15x = (-24 + 12x) + 8(2x + 9) Reorder the terms: -126 + 15x = -24 + 12x + 8(9 + 2x) -126 + 15x = -24 + 12x + (9 * 8 + 2x * 8) -126 + 15x = -24 + 12x + (72 + 16x) Reorder the terms: -126 + 15x = -24 + 72 + 12x + 16x Combine like terms: -24 + 72 = 48 -126 + 15x = 48 + 12x + 16x Combine like terms: 12x + 16x = 28x -126 + 15x = 48 + 28x Solving -126 + 15x = 48 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -126 + 15x + -28x = 48 + 28x + -28x Combine like terms: 15x + -28x = -13x -126 + -13x = 48 + 28x + -28x Combine like terms: 28x + -28x = 0 -126 + -13x = 48 + 0 -126 + -13x = 48 Add '126' to each side of the equation. -126 + 126 + -13x = 48 + 126 Combine like terms: -126 + 126 = 0 0 + -13x = 48 + 126 -13x = 48 + 126 Combine like terms: 48 + 126 = 174 -13x = 174 Divide each side by '-13'. x = -13.38461538 Simplifying x = -13.38461538
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