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Simplifying 5(2x + -3) = 4(x + 7) Reorder the terms: 5(-3 + 2x) = 4(x + 7) (-3 * 5 + 2x * 5) = 4(x + 7) (-15 + 10x) = 4(x + 7) Reorder the terms: -15 + 10x = 4(7 + x) -15 + 10x = (7 * 4 + x * 4) -15 + 10x = (28 + 4x) Solving -15 + 10x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 10x + -4x = 28 + 4x + -4x Combine like terms: 10x + -4x = 6x -15 + 6x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 6x = 28 + 0 -15 + 6x = 28 Add '15' to each side of the equation. -15 + 15 + 6x = 28 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 28 + 15 6x = 28 + 15 Combine like terms: 28 + 15 = 43 6x = 43 Divide each side by '6'. x = 7.166666667 Simplifying x = 7.166666667
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