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Simplifying -1x + -14(2 + x) = 4x + 10 -1x + (2 * -14 + x * -14) = 4x + 10 -1x + (-28 + -14x) = 4x + 10 Reorder the terms: -28 + -1x + -14x = 4x + 10 Combine like terms: -1x + -14x = -15x -28 + -15x = 4x + 10 Reorder the terms: -28 + -15x = 10 + 4x Solving -28 + -15x = 10 + 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. -28 + -15x + -4x = 10 + 4x + -4x Combine like terms: -15x + -4x = -19x -28 + -19x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + -19x = 10 + 0 -28 + -19x = 10 Add '28' to each side of the equation. -28 + 28 + -19x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + -19x = 10 + 28 -19x = 10 + 28 Combine like terms: 10 + 28 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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