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Simplifying -5(3x + -8) + -4x = -6 + 8(5 + -2x) Reorder the terms: -5(-8 + 3x) + -4x = -6 + 8(5 + -2x) (-8 * -5 + 3x * -5) + -4x = -6 + 8(5 + -2x) (40 + -15x) + -4x = -6 + 8(5 + -2x) Combine like terms: -15x + -4x = -19x 40 + -19x = -6 + 8(5 + -2x) 40 + -19x = -6 + (5 * 8 + -2x * 8) 40 + -19x = -6 + (40 + -16x) Combine like terms: -6 + 40 = 34 40 + -19x = 34 + -16x Solving 40 + -19x = 34 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 40 + -19x + 16x = 34 + -16x + 16x Combine like terms: -19x + 16x = -3x 40 + -3x = 34 + -16x + 16x Combine like terms: -16x + 16x = 0 40 + -3x = 34 + 0 40 + -3x = 34 Add '-40' to each side of the equation. 40 + -40 + -3x = 34 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 34 + -40 -3x = 34 + -40 Combine like terms: 34 + -40 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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