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Simplifying 3[5x + -1(3 + -1x)] = 3(3x + -4) 3[5x + (3 * -1 + -1x * -1)] = 3(3x + -4) 3[5x + (-3 + 1x)] = 3(3x + -4) Reorder the terms: 3[-3 + 5x + 1x] = 3(3x + -4) Combine like terms: 5x + 1x = 6x 3[-3 + 6x] = 3(3x + -4) [-3 * 3 + 6x * 3] = 3(3x + -4) [-9 + 18x] = 3(3x + -4) Reorder the terms: -9 + 18x = 3(-4 + 3x) -9 + 18x = (-4 * 3 + 3x * 3) -9 + 18x = (-12 + 9x) Solving -9 + 18x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 18x + -9x = -12 + 9x + -9x Combine like terms: 18x + -9x = 9x -9 + 9x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + 9x = -12 + 0 -9 + 9x = -12 Add '9' to each side of the equation. -9 + 9 + 9x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = -12 + 9 9x = -12 + 9 Combine like terms: -12 + 9 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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