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Simplifying 2[3 + -3(x + 1)] = 2(-9 + -1x) + 2x + 9 Reorder the terms: 2[3 + -3(1 + x)] = 2(-9 + -1x) + 2x + 9 2[3 + (1 * -3 + x * -3)] = 2(-9 + -1x) + 2x + 9 2[3 + (-3 + -3x)] = 2(-9 + -1x) + 2x + 9 Combine like terms: 3 + -3 = 0 2[0 + -3x] = 2(-9 + -1x) + 2x + 9 2[-3x] = 2(-9 + -1x) + 2x + 9 Remove brackets around [-3x] 2 * -3x = 2(-9 + -1x) + 2x + 9 Multiply 2 * -3 -6x = 2(-9 + -1x) + 2x + 9 -6x = (-9 * 2 + -1x * 2) + 2x + 9 -6x = (-18 + -2x) + 2x + 9 Reorder the terms: -6x = -18 + 9 + -2x + 2x Combine like terms: -18 + 9 = -9 -6x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -6x = -9 + 0 -6x = -9 Solving -6x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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