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Simplifying 5(3x + -1) = 4(2x + -3) Reorder the terms: 5(-1 + 3x) = 4(2x + -3) (-1 * 5 + 3x * 5) = 4(2x + -3) (-5 + 15x) = 4(2x + -3) Reorder the terms: -5 + 15x = 4(-3 + 2x) -5 + 15x = (-3 * 4 + 2x * 4) -5 + 15x = (-12 + 8x) Solving -5 + 15x = -12 + 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. -5 + 15x + -8x = -12 + 8x + -8x Combine like terms: 15x + -8x = 7x -5 + 7x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 7x = -12 + 0 -5 + 7x = -12 Add '5' to each side of the equation. -5 + 5 + 7x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -12 + 5 7x = -12 + 5 Combine like terms: -12 + 5 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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