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Simplifying 10x + 4x + 3 + 7 = 5x + 3 + 8x Reorder the terms: 3 + 7 + 10x + 4x = 5x + 3 + 8x Combine like terms: 3 + 7 = 10 10 + 10x + 4x = 5x + 3 + 8x Combine like terms: 10x + 4x = 14x 10 + 14x = 5x + 3 + 8x Reorder the terms: 10 + 14x = 3 + 5x + 8x Combine like terms: 5x + 8x = 13x 10 + 14x = 3 + 13x Solving 10 + 14x = 3 + 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. 10 + 14x + -13x = 3 + 13x + -13x Combine like terms: 14x + -13x = 1x 10 + 1x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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