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Simplifying 3(5x + -3) + -4(2x + 1) = 5x + -2 Reorder the terms: 3(-3 + 5x) + -4(2x + 1) = 5x + -2 (-3 * 3 + 5x * 3) + -4(2x + 1) = 5x + -2 (-9 + 15x) + -4(2x + 1) = 5x + -2 Reorder the terms: -9 + 15x + -4(1 + 2x) = 5x + -2 -9 + 15x + (1 * -4 + 2x * -4) = 5x + -2 -9 + 15x + (-4 + -8x) = 5x + -2 Reorder the terms: -9 + -4 + 15x + -8x = 5x + -2 Combine like terms: -9 + -4 = -13 -13 + 15x + -8x = 5x + -2 Combine like terms: 15x + -8x = 7x -13 + 7x = 5x + -2 Reorder the terms: -13 + 7x = -2 + 5x Solving -13 + 7x = -2 + 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. -13 + 7x + -5x = -2 + 5x + -5x Combine like terms: 7x + -5x = 2x -13 + 2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 2x = -2 + 0 -13 + 2x = -2 Add '13' to each side of the equation. -13 + 13 + 2x = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = -2 + 13 2x = -2 + 13 Combine like terms: -2 + 13 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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