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Simplifying 15(3 + x) = 3(x + -3) + -4x (3 * 15 + x * 15) = 3(x + -3) + -4x (45 + 15x) = 3(x + -3) + -4x Reorder the terms: 45 + 15x = 3(-3 + x) + -4x 45 + 15x = (-3 * 3 + x * 3) + -4x 45 + 15x = (-9 + 3x) + -4x Combine like terms: 3x + -4x = -1x 45 + 15x = -9 + -1x Solving 45 + 15x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + 15x + x = -9 + -1x + x Combine like terms: 15x + x = 16x 45 + 16x = -9 + -1x + x Combine like terms: -1x + x = 0 45 + 16x = -9 + 0 45 + 16x = -9 Add '-45' to each side of the equation. 45 + -45 + 16x = -9 + -45 Combine like terms: 45 + -45 = 0 0 + 16x = -9 + -45 16x = -9 + -45 Combine like terms: -9 + -45 = -54 16x = -54 Divide each side by '16'. x = -3.375 Simplifying x = -3.375
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