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Simplifying 5(3x + -4) = -14 + -3(x + -10) Reorder the terms: 5(-4 + 3x) = -14 + -3(x + -10) (-4 * 5 + 3x * 5) = -14 + -3(x + -10) (-20 + 15x) = -14 + -3(x + -10) Reorder the terms: -20 + 15x = -14 + -3(-10 + x) -20 + 15x = -14 + (-10 * -3 + x * -3) -20 + 15x = -14 + (30 + -3x) Combine like terms: -14 + 30 = 16 -20 + 15x = 16 + -3x Solving -20 + 15x = 16 + -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. -20 + 15x + 3x = 16 + -3x + 3x Combine like terms: 15x + 3x = 18x -20 + 18x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 18x = 16 + 0 -20 + 18x = 16 Add '20' to each side of the equation. -20 + 20 + 18x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 16 + 20 18x = 16 + 20 Combine like terms: 16 + 20 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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