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Simplifying x + -5(4x + 8) = 3x + -2(x + 11) Reorder the terms: x + -5(8 + 4x) = 3x + -2(x + 11) x + (8 * -5 + 4x * -5) = 3x + -2(x + 11) x + (-40 + -20x) = 3x + -2(x + 11) Reorder the terms: -40 + x + -20x = 3x + -2(x + 11) Combine like terms: x + -20x = -19x -40 + -19x = 3x + -2(x + 11) Reorder the terms: -40 + -19x = 3x + -2(11 + x) -40 + -19x = 3x + (11 * -2 + x * -2) -40 + -19x = 3x + (-22 + -2x) Reorder the terms: -40 + -19x = -22 + 3x + -2x Combine like terms: 3x + -2x = 1x -40 + -19x = -22 + 1x Solving -40 + -19x = -22 + 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. -40 + -19x + -1x = -22 + 1x + -1x Combine like terms: -19x + -1x = -20x -40 + -20x = -22 + 1x + -1x Combine like terms: 1x + -1x = 0 -40 + -20x = -22 + 0 -40 + -20x = -22 Add '40' to each side of the equation. -40 + 40 + -20x = -22 + 40 Combine like terms: -40 + 40 = 0 0 + -20x = -22 + 40 -20x = -22 + 40 Combine like terms: -22 + 40 = 18 -20x = 18 Divide each side by '-20'. x = -0.9 Simplifying x = -0.9
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