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Simplifying 3(2x + 5) + 3 = 3(4x + -5) Reorder the terms: 3(5 + 2x) + 3 = 3(4x + -5) (5 * 3 + 2x * 3) + 3 = 3(4x + -5) (15 + 6x) + 3 = 3(4x + -5) Reorder the terms: 15 + 3 + 6x = 3(4x + -5) Combine like terms: 15 + 3 = 18 18 + 6x = 3(4x + -5) Reorder the terms: 18 + 6x = 3(-5 + 4x) 18 + 6x = (-5 * 3 + 4x * 3) 18 + 6x = (-15 + 12x) Solving 18 + 6x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 6x + -12x = -15 + 12x + -12x Combine like terms: 6x + -12x = -6x 18 + -6x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -6x = -15 + 0 18 + -6x = -15 Add '-18' to each side of the equation. 18 + -18 + -6x = -15 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -15 + -18 -6x = -15 + -18 Combine like terms: -15 + -18 = -33 -6x = -33 Divide each side by '-6'. x = 5.5 Simplifying x = 5.5
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