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Simplifying 5(3x + -2) = 4(x + 14) Reorder the terms: 5(-2 + 3x) = 4(x + 14) (-2 * 5 + 3x * 5) = 4(x + 14) (-10 + 15x) = 4(x + 14) Reorder the terms: -10 + 15x = 4(14 + x) -10 + 15x = (14 * 4 + x * 4) -10 + 15x = (56 + 4x) Solving -10 + 15x = 56 + 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. -10 + 15x + -4x = 56 + 4x + -4x Combine like terms: 15x + -4x = 11x -10 + 11x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 11x = 56 + 0 -10 + 11x = 56 Add '10' to each side of the equation. -10 + 10 + 11x = 56 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 56 + 10 11x = 56 + 10 Combine like terms: 56 + 10 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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