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Simplifying 4 + x + -42 = 2x + -10 Reorder the terms: 4 + -42 + x = 2x + -10 Combine like terms: 4 + -42 = -38 -38 + x = 2x + -10 Reorder the terms: -38 + x = -10 + 2x Solving -38 + x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + x + -2x = -10 + 2x + -2x Combine like terms: x + -2x = -1x -38 + -1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + -1x = -10 + 0 -38 + -1x = -10 Add '38' to each side of the equation. -38 + 38 + -1x = -10 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = -10 + 38 -1x = -10 + 38 Combine like terms: -10 + 38 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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