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Simplifying 4(5x + -4) + 11 = 3(x + -2) + -1(2x + 2) Reorder the terms: 4(-4 + 5x) + 11 = 3(x + -2) + -1(2x + 2) (-4 * 4 + 5x * 4) + 11 = 3(x + -2) + -1(2x + 2) (-16 + 20x) + 11 = 3(x + -2) + -1(2x + 2) Reorder the terms: -16 + 11 + 20x = 3(x + -2) + -1(2x + 2) Combine like terms: -16 + 11 = -5 -5 + 20x = 3(x + -2) + -1(2x + 2) Reorder the terms: -5 + 20x = 3(-2 + x) + -1(2x + 2) -5 + 20x = (-2 * 3 + x * 3) + -1(2x + 2) -5 + 20x = (-6 + 3x) + -1(2x + 2) Reorder the terms: -5 + 20x = -6 + 3x + -1(2 + 2x) -5 + 20x = -6 + 3x + (2 * -1 + 2x * -1) -5 + 20x = -6 + 3x + (-2 + -2x) Reorder the terms: -5 + 20x = -6 + -2 + 3x + -2x Combine like terms: -6 + -2 = -8 -5 + 20x = -8 + 3x + -2x Combine like terms: 3x + -2x = 1x -5 + 20x = -8 + 1x Solving -5 + 20x = -8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 20x + -1x = -8 + 1x + -1x Combine like terms: 20x + -1x = 19x -5 + 19x = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 19x = -8 + 0 -5 + 19x = -8 Add '5' to each side of the equation. -5 + 5 + 19x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 19x = -8 + 5 19x = -8 + 5 Combine like terms: -8 + 5 = -3 19x = -3 Divide each side by '19'. x = -0.1578947368 Simplifying x = -0.1578947368
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