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Simplifying -5(4x + 1) + -5 = -3(x + 4) + 2x Reorder the terms: -5(1 + 4x) + -5 = -3(x + 4) + 2x (1 * -5 + 4x * -5) + -5 = -3(x + 4) + 2x (-5 + -20x) + -5 = -3(x + 4) + 2x Reorder the terms: -5 + -5 + -20x = -3(x + 4) + 2x Combine like terms: -5 + -5 = -10 -10 + -20x = -3(x + 4) + 2x Reorder the terms: -10 + -20x = -3(4 + x) + 2x -10 + -20x = (4 * -3 + x * -3) + 2x -10 + -20x = (-12 + -3x) + 2x Combine like terms: -3x + 2x = -1x -10 + -20x = -12 + -1x Solving -10 + -20x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + -20x + x = -12 + -1x + x Combine like terms: -20x + x = -19x -10 + -19x = -12 + -1x + x Combine like terms: -1x + x = 0 -10 + -19x = -12 + 0 -10 + -19x = -12 Add '10' to each side of the equation. -10 + 10 + -19x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -19x = -12 + 10 -19x = -12 + 10 Combine like terms: -12 + 10 = -2 -19x = -2 Divide each side by '-19'. x = 0.1052631579 Simplifying x = 0.1052631579
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