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Simplifying [2(x + 3) + -10] + -1[2(3x + -9) + 11] = 0 Reorder the terms: [2(3 + x) + -10] + -1[2(3x + -9) + 11] = 0 [(3 * 2 + x * 2) + -10] + -1[2(3x + -9) + 11] = 0 [(6 + 2x) + -10] + -1[2(3x + -9) + 11] = 0 Reorder the terms: [6 + -10 + 2x] + -1[2(3x + -9) + 11] = 0 Combine like terms: 6 + -10 = -4 [-4 + 2x] + -1[2(3x + -9) + 11] = 0 Remove brackets around [-4 + 2x] -4 + 2x + -1[2(3x + -9) + 11] = 0 Reorder the terms: -4 + 2x + -1[2(-9 + 3x) + 11] = 0 -4 + 2x + -1[(-9 * 2 + 3x * 2) + 11] = 0 -4 + 2x + -1[(-18 + 6x) + 11] = 0 Reorder the terms: -4 + 2x + -1[-18 + 11 + 6x] = 0 Combine like terms: -18 + 11 = -7 -4 + 2x + -1[-7 + 6x] = 0 -4 + 2x + [-7 * -1 + 6x * -1] = 0 -4 + 2x + [7 + -6x] = 0 Reorder the terms: -4 + 7 + 2x + -6x = 0 Combine like terms: -4 + 7 = 3 3 + 2x + -6x = 0 Combine like terms: 2x + -6x = -4x 3 + -4x = 0 Solving 3 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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