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Simplifying 3x + -10 = 2x + -4(2x + -1) Reorder the terms: -10 + 3x = 2x + -4(2x + -1) Reorder the terms: -10 + 3x = 2x + -4(-1 + 2x) -10 + 3x = 2x + (-1 * -4 + 2x * -4) -10 + 3x = 2x + (4 + -8x) Reorder the terms: -10 + 3x = 4 + 2x + -8x Combine like terms: 2x + -8x = -6x -10 + 3x = 4 + -6x Solving -10 + 3x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 3x + 6x = 4 + -6x + 6x Combine like terms: 3x + 6x = 9x -10 + 9x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 9x = 4 + 0 -10 + 9x = 4 Add '10' to each side of the equation. -10 + 10 + 9x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 4 + 10 9x = 4 + 10 Combine like terms: 4 + 10 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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