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Simplifying 4x + 2x + -42 = -1x + -12 + 10x + -6 Reorder the terms: -42 + 4x + 2x = -1x + -12 + 10x + -6 Combine like terms: 4x + 2x = 6x -42 + 6x = -1x + -12 + 10x + -6 Reorder the terms: -42 + 6x = -12 + -6 + -1x + 10x Combine like terms: -12 + -6 = -18 -42 + 6x = -18 + -1x + 10x Combine like terms: -1x + 10x = 9x -42 + 6x = -18 + 9x Solving -42 + 6x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 6x + -9x = -18 + 9x + -9x Combine like terms: 6x + -9x = -3x -42 + -3x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + -3x = -18 + 0 -42 + -3x = -18 Add '42' to each side of the equation. -42 + 42 + -3x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -18 + 42 -3x = -18 + 42 Combine like terms: -18 + 42 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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