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Simplifying 4(3x + -1) + -10 = 4x + 42 Reorder the terms: 4(-1 + 3x) + -10 = 4x + 42 (-1 * 4 + 3x * 4) + -10 = 4x + 42 (-4 + 12x) + -10 = 4x + 42 Reorder the terms: -4 + -10 + 12x = 4x + 42 Combine like terms: -4 + -10 = -14 -14 + 12x = 4x + 42 Reorder the terms: -14 + 12x = 42 + 4x Solving -14 + 12x = 42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 12x + -4x = 42 + 4x + -4x Combine like terms: 12x + -4x = 8x -14 + 8x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 8x = 42 + 0 -14 + 8x = 42 Add '14' to each side of the equation. -14 + 14 + 8x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 42 + 14 8x = 42 + 14 Combine like terms: 42 + 14 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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