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Simplifying -6x + 3 = 2x + -45 Reorder the terms: 3 + -6x = 2x + -45 Reorder the terms: 3 + -6x = -45 + 2x Solving 3 + -6x = -45 + 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. 3 + -6x + -2x = -45 + 2x + -2x Combine like terms: -6x + -2x = -8x 3 + -8x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -8x = -45 + 0 3 + -8x = -45 Add '-3' to each side of the equation. 3 + -3 + -8x = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -45 + -3 -8x = -45 + -3 Combine like terms: -45 + -3 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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