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Simplifying 5(3x + 5) + -2 = 4(x + -2) Reorder the terms: 5(5 + 3x) + -2 = 4(x + -2) (5 * 5 + 3x * 5) + -2 = 4(x + -2) (25 + 15x) + -2 = 4(x + -2) Reorder the terms: 25 + -2 + 15x = 4(x + -2) Combine like terms: 25 + -2 = 23 23 + 15x = 4(x + -2) Reorder the terms: 23 + 15x = 4(-2 + x) 23 + 15x = (-2 * 4 + x * 4) 23 + 15x = (-8 + 4x) Solving 23 + 15x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 23 + 15x + -4x = -8 + 4x + -4x Combine like terms: 15x + -4x = 11x 23 + 11x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 23 + 11x = -8 + 0 23 + 11x = -8 Add '-23' to each side of the equation. 23 + -23 + 11x = -8 + -23 Combine like terms: 23 + -23 = 0 0 + 11x = -8 + -23 11x = -8 + -23 Combine like terms: -8 + -23 = -31 11x = -31 Divide each side by '11'. x = -2.818181818 Simplifying x = -2.818181818
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