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Simplifying 15x + -3x + 6 = 9x + -1(24 + -5x) Reorder the terms: 6 + 15x + -3x = 9x + -1(24 + -5x) Combine like terms: 15x + -3x = 12x 6 + 12x = 9x + -1(24 + -5x) 6 + 12x = 9x + (24 * -1 + -5x * -1) 6 + 12x = 9x + (-24 + 5x) Reorder the terms: 6 + 12x = -24 + 9x + 5x Combine like terms: 9x + 5x = 14x 6 + 12x = -24 + 14x Solving 6 + 12x = -24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 12x + -14x = -24 + 14x + -14x Combine like terms: 12x + -14x = -2x 6 + -2x = -24 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -2x = -24 + 0 6 + -2x = -24 Add '-6' to each side of the equation. 6 + -6 + -2x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -24 + -6 -2x = -24 + -6 Combine like terms: -24 + -6 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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