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Simplifying 9x + -1(3x + 4) = 15 + -2(x + 4) Reorder the terms: 9x + -1(4 + 3x) = 15 + -2(x + 4) 9x + (4 * -1 + 3x * -1) = 15 + -2(x + 4) 9x + (-4 + -3x) = 15 + -2(x + 4) Reorder the terms: -4 + 9x + -3x = 15 + -2(x + 4) Combine like terms: 9x + -3x = 6x -4 + 6x = 15 + -2(x + 4) Reorder the terms: -4 + 6x = 15 + -2(4 + x) -4 + 6x = 15 + (4 * -2 + x * -2) -4 + 6x = 15 + (-8 + -2x) Combine like terms: 15 + -8 = 7 -4 + 6x = 7 + -2x Solving -4 + 6x = 7 + -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. -4 + 6x + 2x = 7 + -2x + 2x Combine like terms: 6x + 2x = 8x -4 + 8x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 8x = 7 + 0 -4 + 8x = 7 Add '4' to each side of the equation. -4 + 4 + 8x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 7 + 4 8x = 7 + 4 Combine like terms: 7 + 4 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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