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Simplifying 23(4x + 8 + 2x) + -3(x + 8 + 10) = 10 Reorder the terms: 23(8 + 4x + 2x) + -3(x + 8 + 10) = 10 Combine like terms: 4x + 2x = 6x 23(8 + 6x) + -3(x + 8 + 10) = 10 (8 * 23 + 6x * 23) + -3(x + 8 + 10) = 10 (184 + 138x) + -3(x + 8 + 10) = 10 Reorder the terms: 184 + 138x + -3(8 + 10 + x) = 10 Combine like terms: 8 + 10 = 18 184 + 138x + -3(18 + x) = 10 184 + 138x + (18 * -3 + x * -3) = 10 184 + 138x + (-54 + -3x) = 10 Reorder the terms: 184 + -54 + 138x + -3x = 10 Combine like terms: 184 + -54 = 130 130 + 138x + -3x = 10 Combine like terms: 138x + -3x = 135x 130 + 135x = 10 Solving 130 + 135x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-130' to each side of the equation. 130 + -130 + 135x = 10 + -130 Combine like terms: 130 + -130 = 0 0 + 135x = 10 + -130 135x = 10 + -130 Combine like terms: 10 + -130 = -120 135x = -120 Divide each side by '135'. x = -0.8888888889 Simplifying x = -0.8888888889
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