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Simplifying 2 + -5(3x + 2) = 3 + -1(4 + -1x) Reorder the terms: 2 + -5(2 + 3x) = 3 + -1(4 + -1x) 2 + (2 * -5 + 3x * -5) = 3 + -1(4 + -1x) 2 + (-10 + -15x) = 3 + -1(4 + -1x) Combine like terms: 2 + -10 = -8 -8 + -15x = 3 + -1(4 + -1x) -8 + -15x = 3 + (4 * -1 + -1x * -1) -8 + -15x = 3 + (-4 + 1x) Combine like terms: 3 + -4 = -1 -8 + -15x = -1 + 1x Solving -8 + -15x = -1 + 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. -8 + -15x + -1x = -1 + 1x + -1x Combine like terms: -15x + -1x = -16x -8 + -16x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + -16x = -1 + 0 -8 + -16x = -1 Add '8' to each side of the equation. -8 + 8 + -16x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = -1 + 8 -16x = -1 + 8 Combine like terms: -1 + 8 = 7 -16x = 7 Divide each side by '-16'. x = -0.4375 Simplifying x = -0.4375
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