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Simplifying 3(2x + -5) + -4(x + -3) = 4 + -2(x + -5) Reorder the terms: 3(-5 + 2x) + -4(x + -3) = 4 + -2(x + -5) (-5 * 3 + 2x * 3) + -4(x + -3) = 4 + -2(x + -5) (-15 + 6x) + -4(x + -3) = 4 + -2(x + -5) Reorder the terms: -15 + 6x + -4(-3 + x) = 4 + -2(x + -5) -15 + 6x + (-3 * -4 + x * -4) = 4 + -2(x + -5) -15 + 6x + (12 + -4x) = 4 + -2(x + -5) Reorder the terms: -15 + 12 + 6x + -4x = 4 + -2(x + -5) Combine like terms: -15 + 12 = -3 -3 + 6x + -4x = 4 + -2(x + -5) Combine like terms: 6x + -4x = 2x -3 + 2x = 4 + -2(x + -5) Reorder the terms: -3 + 2x = 4 + -2(-5 + x) -3 + 2x = 4 + (-5 * -2 + x * -2) -3 + 2x = 4 + (10 + -2x) Combine like terms: 4 + 10 = 14 -3 + 2x = 14 + -2x Solving -3 + 2x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 2x + 2x = 14 + -2x + 2x Combine like terms: 2x + 2x = 4x -3 + 4x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 4x = 14 + 0 -3 + 4x = 14 Add '3' to each side of the equation. -3 + 3 + 4x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 14 + 3 4x = 14 + 3 Combine like terms: 14 + 3 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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