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Simplifying 2(3x + -4) + -3x = 10x + 2 Reorder the terms: 2(-4 + 3x) + -3x = 10x + 2 (-4 * 2 + 3x * 2) + -3x = 10x + 2 (-8 + 6x) + -3x = 10x + 2 Combine like terms: 6x + -3x = 3x -8 + 3x = 10x + 2 Reorder the terms: -8 + 3x = 2 + 10x Solving -8 + 3x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 3x + -10x = 2 + 10x + -10x Combine like terms: 3x + -10x = -7x -8 + -7x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -7x = 2 + 0 -8 + -7x = 2 Add '8' to each side of the equation. -8 + 8 + -7x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 2 + 8 -7x = 2 + 8 Combine like terms: 2 + 8 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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