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Simplifying 5x + 2(x + -4) + -5 = 2(3x + 3) Reorder the terms: 5x + 2(-4 + x) + -5 = 2(3x + 3) 5x + (-4 * 2 + x * 2) + -5 = 2(3x + 3) 5x + (-8 + 2x) + -5 = 2(3x + 3) Reorder the terms: -8 + -5 + 5x + 2x = 2(3x + 3) Combine like terms: -8 + -5 = -13 -13 + 5x + 2x = 2(3x + 3) Combine like terms: 5x + 2x = 7x -13 + 7x = 2(3x + 3) Reorder the terms: -13 + 7x = 2(3 + 3x) -13 + 7x = (3 * 2 + 3x * 2) -13 + 7x = (6 + 6x) Solving -13 + 7x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x -13 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 1x = 6 + 0 -13 + 1x = 6 Add '13' to each side of the equation. -13 + 13 + 1x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 6 + 13 1x = 6 + 13 Combine like terms: 6 + 13 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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