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Simplifying 3 + -2(x + 5) = 4x + 5(3x + -2) Reorder the terms: 3 + -2(5 + x) = 4x + 5(3x + -2) 3 + (5 * -2 + x * -2) = 4x + 5(3x + -2) 3 + (-10 + -2x) = 4x + 5(3x + -2) Combine like terms: 3 + -10 = -7 -7 + -2x = 4x + 5(3x + -2) Reorder the terms: -7 + -2x = 4x + 5(-2 + 3x) -7 + -2x = 4x + (-2 * 5 + 3x * 5) -7 + -2x = 4x + (-10 + 15x) Reorder the terms: -7 + -2x = -10 + 4x + 15x Combine like terms: 4x + 15x = 19x -7 + -2x = -10 + 19x Solving -7 + -2x = -10 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -7 + -2x + -19x = -10 + 19x + -19x Combine like terms: -2x + -19x = -21x -7 + -21x = -10 + 19x + -19x Combine like terms: 19x + -19x = 0 -7 + -21x = -10 + 0 -7 + -21x = -10 Add '7' to each side of the equation. -7 + 7 + -21x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -21x = -10 + 7 -21x = -10 + 7 Combine like terms: -10 + 7 = -3 -21x = -3 Divide each side by '-21'. x = 0.1428571429 Simplifying x = 0.1428571429
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