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Simplifying 5(3x + -2) + 4x = 3x + -2 Reorder the terms: 5(-2 + 3x) + 4x = 3x + -2 (-2 * 5 + 3x * 5) + 4x = 3x + -2 (-10 + 15x) + 4x = 3x + -2 Combine like terms: 15x + 4x = 19x -10 + 19x = 3x + -2 Reorder the terms: -10 + 19x = -2 + 3x Solving -10 + 19x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 19x + -3x = -2 + 3x + -3x Combine like terms: 19x + -3x = 16x -10 + 16x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 16x = -2 + 0 -10 + 16x = -2 Add '10' to each side of the equation. -10 + 10 + 16x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = -2 + 10 16x = -2 + 10 Combine like terms: -2 + 10 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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