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Simplifying 9x + -3(5x + -2) + -15 = 4(2x + -4) + 10 + -5(x + 3) Reorder the terms: 9x + -3(-2 + 5x) + -15 = 4(2x + -4) + 10 + -5(x + 3) 9x + (-2 * -3 + 5x * -3) + -15 = 4(2x + -4) + 10 + -5(x + 3) 9x + (6 + -15x) + -15 = 4(2x + -4) + 10 + -5(x + 3) Reorder the terms: 6 + -15 + 9x + -15x = 4(2x + -4) + 10 + -5(x + 3) Combine like terms: 6 + -15 = -9 -9 + 9x + -15x = 4(2x + -4) + 10 + -5(x + 3) Combine like terms: 9x + -15x = -6x -9 + -6x = 4(2x + -4) + 10 + -5(x + 3) Reorder the terms: -9 + -6x = 4(-4 + 2x) + 10 + -5(x + 3) -9 + -6x = (-4 * 4 + 2x * 4) + 10 + -5(x + 3) -9 + -6x = (-16 + 8x) + 10 + -5(x + 3) Reorder the terms: -9 + -6x = -16 + 8x + 10 + -5(3 + x) -9 + -6x = -16 + 8x + 10 + (3 * -5 + x * -5) -9 + -6x = -16 + 8x + 10 + (-15 + -5x) Reorder the terms: -9 + -6x = -16 + 10 + -15 + 8x + -5x Combine like terms: -16 + 10 = -6 -9 + -6x = -6 + -15 + 8x + -5x Combine like terms: -6 + -15 = -21 -9 + -6x = -21 + 8x + -5x Combine like terms: 8x + -5x = 3x -9 + -6x = -21 + 3x Solving -9 + -6x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -6x + -3x = -21 + 3x + -3x Combine like terms: -6x + -3x = -9x -9 + -9x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -9x = -21 + 0 -9 + -9x = -21 Add '9' to each side of the equation. -9 + 9 + -9x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = -21 + 9 -9x = -21 + 9 Combine like terms: -21 + 9 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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