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Simplifying -3(x + -14) + -2(x + -1) = 4x + 1 Reorder the terms: -3(-14 + x) + -2(x + -1) = 4x + 1 (-14 * -3 + x * -3) + -2(x + -1) = 4x + 1 (42 + -3x) + -2(x + -1) = 4x + 1 Reorder the terms: 42 + -3x + -2(-1 + x) = 4x + 1 42 + -3x + (-1 * -2 + x * -2) = 4x + 1 42 + -3x + (2 + -2x) = 4x + 1 Reorder the terms: 42 + 2 + -3x + -2x = 4x + 1 Combine like terms: 42 + 2 = 44 44 + -3x + -2x = 4x + 1 Combine like terms: -3x + -2x = -5x 44 + -5x = 4x + 1 Reorder the terms: 44 + -5x = 1 + 4x Solving 44 + -5x = 1 + 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. 44 + -5x + -4x = 1 + 4x + -4x Combine like terms: -5x + -4x = -9x 44 + -9x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 44 + -9x = 1 + 0 44 + -9x = 1 Add '-44' to each side of the equation. 44 + -44 + -9x = 1 + -44 Combine like terms: 44 + -44 = 0 0 + -9x = 1 + -44 -9x = 1 + -44 Combine like terms: 1 + -44 = -43 -9x = -43 Divide each side by '-9'. x = 4.777777778 Simplifying x = 4.777777778
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