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Simplifying 8x + 6x + 12 = 10x + 5 + 3x Reorder the terms: 12 + 8x + 6x = 10x + 5 + 3x Combine like terms: 8x + 6x = 14x 12 + 14x = 10x + 5 + 3x Reorder the terms: 12 + 14x = 5 + 10x + 3x Combine like terms: 10x + 3x = 13x 12 + 14x = 5 + 13x Solving 12 + 14x = 5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 14x + -13x = 5 + 13x + -13x Combine like terms: 14x + -13x = 1x 12 + 1x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + 1x = 5 + 0 12 + 1x = 5 Add '-12' to each side of the equation. 12 + -12 + 1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 5 + -12 1x = 5 + -12 Combine like terms: 5 + -12 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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