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Simplifying x + 2(x + -3) = 5x + -4(2x + -10) Reorder the terms: x + 2(-3 + x) = 5x + -4(2x + -10) x + (-3 * 2 + x * 2) = 5x + -4(2x + -10) x + (-6 + 2x) = 5x + -4(2x + -10) Reorder the terms: -6 + x + 2x = 5x + -4(2x + -10) Combine like terms: x + 2x = 3x -6 + 3x = 5x + -4(2x + -10) Reorder the terms: -6 + 3x = 5x + -4(-10 + 2x) -6 + 3x = 5x + (-10 * -4 + 2x * -4) -6 + 3x = 5x + (40 + -8x) Reorder the terms: -6 + 3x = 40 + 5x + -8x Combine like terms: 5x + -8x = -3x -6 + 3x = 40 + -3x Solving -6 + 3x = 40 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 3x + 3x = 40 + -3x + 3x Combine like terms: 3x + 3x = 6x -6 + 6x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 6x = 40 + 0 -6 + 6x = 40 Add '6' to each side of the equation. -6 + 6 + 6x = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 40 + 6 6x = 40 + 6 Combine like terms: 40 + 6 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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