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Simplifying 5(2x + -3) + 9 = -3 + (4x + -4) + 12 Reorder the terms: 5(-3 + 2x) + 9 = -3 + (4x + -4) + 12 (-3 * 5 + 2x * 5) + 9 = -3 + (4x + -4) + 12 (-15 + 10x) + 9 = -3 + (4x + -4) + 12 Reorder the terms: -15 + 9 + 10x = -3 + (4x + -4) + 12 Combine like terms: -15 + 9 = -6 -6 + 10x = -3 + (4x + -4) + 12 Reorder the terms: -6 + 10x = -3 + (-4 + 4x) + 12 Remove parenthesis around (-4 + 4x) -6 + 10x = -3 + -4 + 4x + 12 Reorder the terms: -6 + 10x = -3 + -4 + 12 + 4x Combine like terms: -3 + -4 = -7 -6 + 10x = -7 + 12 + 4x Combine like terms: -7 + 12 = 5 -6 + 10x = 5 + 4x Solving -6 + 10x = 5 + 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. -6 + 10x + -4x = 5 + 4x + -4x Combine like terms: 10x + -4x = 6x -6 + 6x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 6x = 5 + 0 -6 + 6x = 5 Add '6' to each side of the equation. -6 + 6 + 6x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 5 + 6 6x = 5 + 6 Combine like terms: 5 + 6 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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