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Simplifying 4(3x + -2) + -10x = 3x + -1 Reorder the terms: 4(-2 + 3x) + -10x = 3x + -1 (-2 * 4 + 3x * 4) + -10x = 3x + -1 (-8 + 12x) + -10x = 3x + -1 Combine like terms: 12x + -10x = 2x -8 + 2x = 3x + -1 Reorder the terms: -8 + 2x = -1 + 3x Solving -8 + 2x = -1 + 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. -8 + 2x + -3x = -1 + 3x + -3x Combine like terms: 2x + -3x = -1x -8 + -1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -1x = -1 + 0 -8 + -1x = -1 Add '8' to each side of the equation. -8 + 8 + -1x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -1 + 8 -1x = -1 + 8 Combine like terms: -1 + 8 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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