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Simplifying 5(3x + -2) + 4(x + 3) = 8 + -5x Reorder the terms: 5(-2 + 3x) + 4(x + 3) = 8 + -5x (-2 * 5 + 3x * 5) + 4(x + 3) = 8 + -5x (-10 + 15x) + 4(x + 3) = 8 + -5x Reorder the terms: -10 + 15x + 4(3 + x) = 8 + -5x -10 + 15x + (3 * 4 + x * 4) = 8 + -5x -10 + 15x + (12 + 4x) = 8 + -5x Reorder the terms: -10 + 12 + 15x + 4x = 8 + -5x Combine like terms: -10 + 12 = 2 2 + 15x + 4x = 8 + -5x Combine like terms: 15x + 4x = 19x 2 + 19x = 8 + -5x Solving 2 + 19x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 19x + 5x = 8 + -5x + 5x Combine like terms: 19x + 5x = 24x 2 + 24x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 24x = 8 + 0 2 + 24x = 8 Add '-2' to each side of the equation. 2 + -2 + 24x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 24x = 8 + -2 24x = 8 + -2 Combine like terms: 8 + -2 = 6 24x = 6 Divide each side by '24'. x = 0.25 Simplifying x = 0.25
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