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Simplifying 3(5x + -3) = 4(2x + -1) Reorder the terms: 3(-3 + 5x) = 4(2x + -1) (-3 * 3 + 5x * 3) = 4(2x + -1) (-9 + 15x) = 4(2x + -1) Reorder the terms: -9 + 15x = 4(-1 + 2x) -9 + 15x = (-1 * 4 + 2x * 4) -9 + 15x = (-4 + 8x) Solving -9 + 15x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 15x + -8x = -4 + 8x + -8x Combine like terms: 15x + -8x = 7x -9 + 7x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 7x = -4 + 0 -9 + 7x = -4 Add '9' to each side of the equation. -9 + 9 + 7x = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = -4 + 9 7x = -4 + 9 Combine like terms: -4 + 9 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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