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Simplifying 4(x + 2) + -3((2) + -5x) = 5(3x + -2) Reorder the terms: 4(2 + x) + -3((2) + -5x) = 5(3x + -2) (2 * 4 + x * 4) + -3((2) + -5x) = 5(3x + -2) (8 + 4x) + -3((2) + -5x) = 5(3x + -2) 8 + 4x + -3(2 + -5x) = 5(3x + -2) 8 + 4x + (2 * -3 + -5x * -3) = 5(3x + -2) 8 + 4x + (-6 + 15x) = 5(3x + -2) Reorder the terms: 8 + -6 + 4x + 15x = 5(3x + -2) Combine like terms: 8 + -6 = 2 2 + 4x + 15x = 5(3x + -2) Combine like terms: 4x + 15x = 19x 2 + 19x = 5(3x + -2) Reorder the terms: 2 + 19x = 5(-2 + 3x) 2 + 19x = (-2 * 5 + 3x * 5) 2 + 19x = (-10 + 15x) Solving 2 + 19x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 19x + -15x = -10 + 15x + -15x Combine like terms: 19x + -15x = 4x 2 + 4x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + 4x = -10 + 0 2 + 4x = -10 Add '-2' to each side of the equation. 2 + -2 + 4x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -10 + -2 4x = -10 + -2 Combine like terms: -10 + -2 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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