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Simplifying 5(2x + -3) + 4 = 16 + -3(x + -4) Reorder the terms: 5(-3 + 2x) + 4 = 16 + -3(x + -4) (-3 * 5 + 2x * 5) + 4 = 16 + -3(x + -4) (-15 + 10x) + 4 = 16 + -3(x + -4) Reorder the terms: -15 + 4 + 10x = 16 + -3(x + -4) Combine like terms: -15 + 4 = -11 -11 + 10x = 16 + -3(x + -4) Reorder the terms: -11 + 10x = 16 + -3(-4 + x) -11 + 10x = 16 + (-4 * -3 + x * -3) -11 + 10x = 16 + (12 + -3x) Combine like terms: 16 + 12 = 28 -11 + 10x = 28 + -3x Solving -11 + 10x = 28 + -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. -11 + 10x + 3x = 28 + -3x + 3x Combine like terms: 10x + 3x = 13x -11 + 13x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 13x = 28 + 0 -11 + 13x = 28 Add '11' to each side of the equation. -11 + 11 + 13x = 28 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = 28 + 11 13x = 28 + 11 Combine like terms: 28 + 11 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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