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Simplifying 10x + 15 = 6x + -27 Reorder the terms: 15 + 10x = 6x + -27 Reorder the terms: 15 + 10x = -27 + 6x Solving 15 + 10x = -27 + 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 + 10x + -6x = -27 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = -27 + 0 15 + 4x = -27 Add '-15' to each side of the equation. 15 + -15 + 4x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -27 + -15 4x = -27 + -15 Combine like terms: -27 + -15 = -42 4x = -42 Divide each side by '4'. x = -10.5 Simplifying x = -10.5
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