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Simplifying 2(5x + -6) = 4[x + -3(x + -10)] Reorder the terms: 2(-6 + 5x) = 4[x + -3(x + -10)] (-6 * 2 + 5x * 2) = 4[x + -3(x + -10)] (-12 + 10x) = 4[x + -3(x + -10)] Reorder the terms: -12 + 10x = 4[x + -3(-10 + x)] -12 + 10x = 4[x + (-10 * -3 + x * -3)] -12 + 10x = 4[x + (30 + -3x)] Reorder the terms: -12 + 10x = 4[30 + x + -3x] Combine like terms: x + -3x = -2x -12 + 10x = 4[30 + -2x] -12 + 10x = [30 * 4 + -2x * 4] -12 + 10x = [120 + -8x] Solving -12 + 10x = 120 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 10x + 8x = 120 + -8x + 8x Combine like terms: 10x + 8x = 18x -12 + 18x = 120 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 18x = 120 + 0 -12 + 18x = 120 Add '12' to each side of the equation. -12 + 12 + 18x = 120 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 120 + 12 18x = 120 + 12 Combine like terms: 120 + 12 = 132 18x = 132 Divide each side by '18'. x = 7.333333333 Simplifying x = 7.333333333
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