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Simplifying 5(2x + -3) = 3(x + -4) + 11 Reorder the terms: 5(-3 + 2x) = 3(x + -4) + 11 (-3 * 5 + 2x * 5) = 3(x + -4) + 11 (-15 + 10x) = 3(x + -4) + 11 Reorder the terms: -15 + 10x = 3(-4 + x) + 11 -15 + 10x = (-4 * 3 + x * 3) + 11 -15 + 10x = (-12 + 3x) + 11 Reorder the terms: -15 + 10x = -12 + 11 + 3x Combine like terms: -12 + 11 = -1 -15 + 10x = -1 + 3x Solving -15 + 10x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 10x + -3x = -1 + 3x + -3x Combine like terms: 10x + -3x = 7x -15 + 7x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 7x = -1 + 0 -15 + 7x = -1 Add '15' to each side of the equation. -15 + 15 + 7x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -1 + 15 7x = -1 + 15 Combine like terms: -1 + 15 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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