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Simplifying 15(x + -1) + 4(2 + -3x) = 9 + -2(x + 4) Reorder the terms: 15(-1 + x) + 4(2 + -3x) = 9 + -2(x + 4) (-1 * 15 + x * 15) + 4(2 + -3x) = 9 + -2(x + 4) (-15 + 15x) + 4(2 + -3x) = 9 + -2(x + 4) -15 + 15x + (2 * 4 + -3x * 4) = 9 + -2(x + 4) -15 + 15x + (8 + -12x) = 9 + -2(x + 4) Reorder the terms: -15 + 8 + 15x + -12x = 9 + -2(x + 4) Combine like terms: -15 + 8 = -7 -7 + 15x + -12x = 9 + -2(x + 4) Combine like terms: 15x + -12x = 3x -7 + 3x = 9 + -2(x + 4) Reorder the terms: -7 + 3x = 9 + -2(4 + x) -7 + 3x = 9 + (4 * -2 + x * -2) -7 + 3x = 9 + (-8 + -2x) Combine like terms: 9 + -8 = 1 -7 + 3x = 1 + -2x Solving -7 + 3x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 3x + 2x = 1 + -2x + 2x Combine like terms: 3x + 2x = 5x -7 + 5x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 5x = 1 + 0 -7 + 5x = 1 Add '7' to each side of the equation. -7 + 7 + 5x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 1 + 7 5x = 1 + 7 Combine like terms: 1 + 7 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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