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Simplifying 4(2x + -3) = 6(5x + 5) Reorder the terms: 4(-3 + 2x) = 6(5x + 5) (-3 * 4 + 2x * 4) = 6(5x + 5) (-12 + 8x) = 6(5x + 5) Reorder the terms: -12 + 8x = 6(5 + 5x) -12 + 8x = (5 * 6 + 5x * 6) -12 + 8x = (30 + 30x) Solving -12 + 8x = 30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -12 + 8x + -30x = 30 + 30x + -30x Combine like terms: 8x + -30x = -22x -12 + -22x = 30 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + -22x = 30 + 0 -12 + -22x = 30 Add '12' to each side of the equation. -12 + 12 + -22x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -22x = 30 + 12 -22x = 30 + 12 Combine like terms: 30 + 12 = 42 -22x = 42 Divide each side by '-22'. x = -1.909090909 Simplifying x = -1.909090909
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