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Simplifying 3(x + 5) + 1 = 2(3x + -4) Reorder the terms: 3(5 + x) + 1 = 2(3x + -4) (5 * 3 + x * 3) + 1 = 2(3x + -4) (15 + 3x) + 1 = 2(3x + -4) Reorder the terms: 15 + 1 + 3x = 2(3x + -4) Combine like terms: 15 + 1 = 16 16 + 3x = 2(3x + -4) Reorder the terms: 16 + 3x = 2(-4 + 3x) 16 + 3x = (-4 * 2 + 3x * 2) 16 + 3x = (-8 + 6x) Solving 16 + 3x = -8 + 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. 16 + 3x + -6x = -8 + 6x + -6x Combine like terms: 3x + -6x = -3x 16 + -3x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -3x = -8 + 0 16 + -3x = -8 Add '-16' to each side of the equation. 16 + -16 + -3x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -8 + -16 -3x = -8 + -16 Combine like terms: -8 + -16 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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