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Simplifying 3x + -2[5(x + 3) + -1(x + -6)] + -3 = 0 Reorder the terms: 3x + -2[5(3 + x) + -1(x + -6)] + -3 = 0 3x + -2[(3 * 5 + x * 5) + -1(x + -6)] + -3 = 0 3x + -2[(15 + 5x) + -1(x + -6)] + -3 = 0 Reorder the terms: 3x + -2[15 + 5x + -1(-6 + x)] + -3 = 0 3x + -2[15 + 5x + (-6 * -1 + x * -1)] + -3 = 0 3x + -2[15 + 5x + (6 + -1x)] + -3 = 0 Reorder the terms: 3x + -2[15 + 6 + 5x + -1x] + -3 = 0 Combine like terms: 15 + 6 = 21 3x + -2[21 + 5x + -1x] + -3 = 0 Combine like terms: 5x + -1x = 4x 3x + -2[21 + 4x] + -3 = 0 3x + [21 * -2 + 4x * -2] + -3 = 0 3x + [-42 + -8x] + -3 = 0 Reorder the terms: -42 + -3 + 3x + -8x = 0 Combine like terms: -42 + -3 = -45 -45 + 3x + -8x = 0 Combine like terms: 3x + -8x = -5x -45 + -5x = 0 Solving -45 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -5x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 0 + 45 -5x = 0 + 45 Combine like terms: 0 + 45 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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