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Simplifying 5(x + 3) + 4x + -3 = (2x + -4) + 2 Reorder the terms: 5(3 + x) + 4x + -3 = (2x + -4) + 2 (3 * 5 + x * 5) + 4x + -3 = (2x + -4) + 2 (15 + 5x) + 4x + -3 = (2x + -4) + 2 Reorder the terms: 15 + -3 + 5x + 4x = (2x + -4) + 2 Combine like terms: 15 + -3 = 12 12 + 5x + 4x = (2x + -4) + 2 Combine like terms: 5x + 4x = 9x 12 + 9x = (2x + -4) + 2 Reorder the terms: 12 + 9x = (-4 + 2x) + 2 Remove parenthesis around (-4 + 2x) 12 + 9x = -4 + 2x + 2 Reorder the terms: 12 + 9x = -4 + 2 + 2x Combine like terms: -4 + 2 = -2 12 + 9x = -2 + 2x Solving 12 + 9x = -2 + 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. 12 + 9x + -2x = -2 + 2x + -2x Combine like terms: 9x + -2x = 7x 12 + 7x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 7x = -2 + 0 12 + 7x = -2 Add '-12' to each side of the equation. 12 + -12 + 7x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -2 + -12 7x = -2 + -12 Combine like terms: -2 + -12 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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