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Simplifying 4x + 15 = 6x + -45 Reorder the terms: 15 + 4x = 6x + -45 Reorder the terms: 15 + 4x = -45 + 6x Solving 15 + 4x = -45 + 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. 15 + 4x + -6x = -45 + 6x + -6x Combine like terms: 4x + -6x = -2x 15 + -2x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -2x = -45 + 0 15 + -2x = -45 Add '-15' to each side of the equation. 15 + -15 + -2x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -45 + -15 -2x = -45 + -15 Combine like terms: -45 + -15 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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