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Simplifying -14(x + 1) + 4(x + -7) = -3x + -1x Reorder the terms: -14(1 + x) + 4(x + -7) = -3x + -1x (1 * -14 + x * -14) + 4(x + -7) = -3x + -1x (-14 + -14x) + 4(x + -7) = -3x + -1x Reorder the terms: -14 + -14x + 4(-7 + x) = -3x + -1x -14 + -14x + (-7 * 4 + x * 4) = -3x + -1x -14 + -14x + (-28 + 4x) = -3x + -1x Reorder the terms: -14 + -28 + -14x + 4x = -3x + -1x Combine like terms: -14 + -28 = -42 -42 + -14x + 4x = -3x + -1x Combine like terms: -14x + 4x = -10x -42 + -10x = -3x + -1x Combine like terms: -3x + -1x = -4x -42 + -10x = -4x Solving -42 + -10x = -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. -42 + -10x + 4x = -4x + 4x Combine like terms: -10x + 4x = -6x -42 + -6x = -4x + 4x Combine like terms: -4x + 4x = 0 -42 + -6x = 0 Add '42' to each side of the equation. -42 + 42 + -6x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -6x = 0 + 42 -6x = 0 + 42 Combine like terms: 0 + 42 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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