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Simplifying -2x + 5x + -9 = 3(x + -4) * 5 Reorder the terms: -9 + -2x + 5x = 3(x + -4) * 5 Combine like terms: -2x + 5x = 3x -9 + 3x = 3(x + -4) * 5 Reorder the terms: -9 + 3x = 3(-4 + x) * 5 Reorder the terms for easier multiplication: -9 + 3x = 3 * 5(-4 + x) Multiply 3 * 5 -9 + 3x = 15(-4 + x) -9 + 3x = (-4 * 15 + x * 15) -9 + 3x = (-60 + 15x) Solving -9 + 3x = -60 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -9 + 3x + -15x = -60 + 15x + -15x Combine like terms: 3x + -15x = -12x -9 + -12x = -60 + 15x + -15x Combine like terms: 15x + -15x = 0 -9 + -12x = -60 + 0 -9 + -12x = -60 Add '9' to each side of the equation. -9 + 9 + -12x = -60 + 9 Combine like terms: -9 + 9 = 0 0 + -12x = -60 + 9 -12x = -60 + 9 Combine like terms: -60 + 9 = -51 -12x = -51 Divide each side by '-12'. x = 4.25 Simplifying x = 4.25
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