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Simplifying 3(2x + -5) + 2x = 13 + 16x Reorder the terms: 3(-5 + 2x) + 2x = 13 + 16x (-5 * 3 + 2x * 3) + 2x = 13 + 16x (-15 + 6x) + 2x = 13 + 16x Combine like terms: 6x + 2x = 8x -15 + 8x = 13 + 16x Solving -15 + 8x = 13 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -15 + 8x + -16x = 13 + 16x + -16x Combine like terms: 8x + -16x = -8x -15 + -8x = 13 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -8x = 13 + 0 -15 + -8x = 13 Add '15' to each side of the equation. -15 + 15 + -8x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 13 + 15 -8x = 13 + 15 Combine like terms: 13 + 15 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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