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Simplifying 3(2x + -5) + 13 = 2(x + -3) + -16 Reorder the terms: 3(-5 + 2x) + 13 = 2(x + -3) + -16 (-5 * 3 + 2x * 3) + 13 = 2(x + -3) + -16 (-15 + 6x) + 13 = 2(x + -3) + -16 Reorder the terms: -15 + 13 + 6x = 2(x + -3) + -16 Combine like terms: -15 + 13 = -2 -2 + 6x = 2(x + -3) + -16 Reorder the terms: -2 + 6x = 2(-3 + x) + -16 -2 + 6x = (-3 * 2 + x * 2) + -16 -2 + 6x = (-6 + 2x) + -16 Reorder the terms: -2 + 6x = -6 + -16 + 2x Combine like terms: -6 + -16 = -22 -2 + 6x = -22 + 2x Solving -2 + 6x = -22 + 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. -2 + 6x + -2x = -22 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = -22 + 0 -2 + 4x = -22 Add '2' to each side of the equation. -2 + 2 + 4x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -22 + 2 4x = -22 + 2 Combine like terms: -22 + 2 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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