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Simplifying 4x + -2 = 9 + 5(x + -3) Reorder the terms: -2 + 4x = 9 + 5(x + -3) Reorder the terms: -2 + 4x = 9 + 5(-3 + x) -2 + 4x = 9 + (-3 * 5 + x * 5) -2 + 4x = 9 + (-15 + 5x) Combine like terms: 9 + -15 = -6 -2 + 4x = -6 + 5x Solving -2 + 4x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 4x + -5x = -6 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x = -6 + 0 -2 + -1x = -6 Add '2' to each side of the equation. -2 + 2 + -1x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -6 + 2 -1x = -6 + 2 Combine like terms: -6 + 2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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