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Simplifying 3[5(x + -4) + 15] + -1[2(2x + -2) + 4] = 0 Reorder the terms: 3[5(-4 + x) + 15] + -1[2(2x + -2) + 4] = 0 3[(-4 * 5 + x * 5) + 15] + -1[2(2x + -2) + 4] = 0 3[(-20 + 5x) + 15] + -1[2(2x + -2) + 4] = 0 Reorder the terms: 3[-20 + 15 + 5x] + -1[2(2x + -2) + 4] = 0 Combine like terms: -20 + 15 = -5 3[-5 + 5x] + -1[2(2x + -2) + 4] = 0 [-5 * 3 + 5x * 3] + -1[2(2x + -2) + 4] = 0 [-15 + 15x] + -1[2(2x + -2) + 4] = 0 Reorder the terms: -15 + 15x + -1[2(-2 + 2x) + 4] = 0 -15 + 15x + -1[(-2 * 2 + 2x * 2) + 4] = 0 -15 + 15x + -1[(-4 + 4x) + 4] = 0 Reorder the terms: -15 + 15x + -1[-4 + 4 + 4x] = 0 Combine like terms: -4 + 4 = 0 -15 + 15x + -1[0 + 4x] = 0 -15 + 15x + -1[4x] = 0 Remove brackets around [4x] -15 + 15x + -1 * 4x = 0 Multiply -1 * 4 -15 + 15x + -4x = 0 Combine like terms: 15x + -4x = 11x -15 + 11x = 0 Solving -15 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 0 + 15 11x = 0 + 15 Combine like terms: 0 + 15 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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