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Simplifying 2x + 3 = 6(x + -5) + 2 Reorder the terms: 3 + 2x = 6(x + -5) + 2 Reorder the terms: 3 + 2x = 6(-5 + x) + 2 3 + 2x = (-5 * 6 + x * 6) + 2 3 + 2x = (-30 + 6x) + 2 Reorder the terms: 3 + 2x = -30 + 2 + 6x Combine like terms: -30 + 2 = -28 3 + 2x = -28 + 6x Solving 3 + 2x = -28 + 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. 3 + 2x + -6x = -28 + 6x + -6x Combine like terms: 2x + -6x = -4x 3 + -4x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -4x = -28 + 0 3 + -4x = -28 Add '-3' to each side of the equation. 3 + -3 + -4x = -28 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -28 + -3 -4x = -28 + -3 Combine like terms: -28 + -3 = -31 -4x = -31 Divide each side by '-4'. x = 7.75 Simplifying x = 7.75
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