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Simplifying -5(3x + 1) + -14 = -10(x + 2) + -2x + 1 Reorder the terms: -5(1 + 3x) + -14 = -10(x + 2) + -2x + 1 (1 * -5 + 3x * -5) + -14 = -10(x + 2) + -2x + 1 (-5 + -15x) + -14 = -10(x + 2) + -2x + 1 Reorder the terms: -5 + -14 + -15x = -10(x + 2) + -2x + 1 Combine like terms: -5 + -14 = -19 -19 + -15x = -10(x + 2) + -2x + 1 Reorder the terms: -19 + -15x = -10(2 + x) + -2x + 1 -19 + -15x = (2 * -10 + x * -10) + -2x + 1 -19 + -15x = (-20 + -10x) + -2x + 1 Reorder the terms: -19 + -15x = -20 + 1 + -10x + -2x Combine like terms: -20 + 1 = -19 -19 + -15x = -19 + -10x + -2x Combine like terms: -10x + -2x = -12x -19 + -15x = -19 + -12x Add '19' to each side of the equation. -19 + 19 + -15x = -19 + 19 + -12x Combine like terms: -19 + 19 = 0 0 + -15x = -19 + 19 + -12x -15x = -19 + 19 + -12x Combine like terms: -19 + 19 = 0 -15x = 0 + -12x -15x = -12x Solving -15x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15x + 12x = -12x + 12x Combine like terms: -15x + 12x = -3x -3x = -12x + 12x Combine like terms: -12x + 12x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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