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Simplifying 3(2x + -5) = 5 + -2(x + 6) Reorder the terms: 3(-5 + 2x) = 5 + -2(x + 6) (-5 * 3 + 2x * 3) = 5 + -2(x + 6) (-15 + 6x) = 5 + -2(x + 6) Reorder the terms: -15 + 6x = 5 + -2(6 + x) -15 + 6x = 5 + (6 * -2 + x * -2) -15 + 6x = 5 + (-12 + -2x) Combine like terms: 5 + -12 = -7 -15 + 6x = -7 + -2x Solving -15 + 6x = -7 + -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. -15 + 6x + 2x = -7 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = -7 + 0 -15 + 8x = -7 Add '15' to each side of the equation. -15 + 15 + 8x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -7 + 15 8x = -7 + 15 Combine like terms: -7 + 15 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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