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Simplifying -2(3x + 5) = 4(4x + -3) Reorder the terms: -2(5 + 3x) = 4(4x + -3) (5 * -2 + 3x * -2) = 4(4x + -3) (-10 + -6x) = 4(4x + -3) Reorder the terms: -10 + -6x = 4(-3 + 4x) -10 + -6x = (-3 * 4 + 4x * 4) -10 + -6x = (-12 + 16x) Solving -10 + -6x = -12 + 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. -10 + -6x + -16x = -12 + 16x + -16x Combine like terms: -6x + -16x = -22x -10 + -22x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + -22x = -12 + 0 -10 + -22x = -12 Add '10' to each side of the equation. -10 + 10 + -22x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -22x = -12 + 10 -22x = -12 + 10 Combine like terms: -12 + 10 = -2 -22x = -2 Divide each side by '-22'. x = 0.09090909091 Simplifying x = 0.09090909091
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