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Simplifying 6x + -3[2x(5 + -7) + 4x] = -3(3 + -3x) + 10 Combine like terms: 5 + -7 = -2 6x + -3[2x(-2) + 4x] = -3(3 + -3x) + 10 Reorder the terms for easier multiplication: 6x + -3[2 * -2x + 4x] = -3(3 + -3x) + 10 Multiply 2 * -2 6x + -3[-4x + 4x] = -3(3 + -3x) + 10 Combine like terms: -4x + 4x = 0 6x + -3[0] = -3(3 + -3x) + 10 Multiply -3 * 0 6x + 0 = -3(3 + -3x) + 10 Anything times zero is zero. 6x + 0 = -3(3 + -3x) + 10 Reorder the terms: 0 + 6x = -3(3 + -3x) + 10 Remove the zero: 6x = -3(3 + -3x) + 10 6x = (3 * -3 + -3x * -3) + 10 6x = (-9 + 9x) + 10 Reorder the terms: 6x = -9 + 10 + 9x Combine like terms: -9 + 10 = 1 6x = 1 + 9x Solving 6x = 1 + 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. 6x + -9x = 1 + 9x + -9x Combine like terms: 6x + -9x = -3x -3x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -3x = 1 + 0 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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