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Simplifying 5(2x + -3) + 10 = 4(x + 3) Reorder the terms: 5(-3 + 2x) + 10 = 4(x + 3) (-3 * 5 + 2x * 5) + 10 = 4(x + 3) (-15 + 10x) + 10 = 4(x + 3) Reorder the terms: -15 + 10 + 10x = 4(x + 3) Combine like terms: -15 + 10 = -5 -5 + 10x = 4(x + 3) Reorder the terms: -5 + 10x = 4(3 + x) -5 + 10x = (3 * 4 + x * 4) -5 + 10x = (12 + 4x) Solving -5 + 10x = 12 + 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. -5 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x -5 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 6x = 12 + 0 -5 + 6x = 12 Add '5' to each side of the equation. -5 + 5 + 6x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 12 + 5 6x = 12 + 5 Combine like terms: 12 + 5 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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