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Simplifying 10x + -3x + 5 = 18 + -1x + 4 Reorder the terms: 5 + 10x + -3x = 18 + -1x + 4 Combine like terms: 10x + -3x = 7x 5 + 7x = 18 + -1x + 4 Reorder the terms: 5 + 7x = 18 + 4 + -1x Combine like terms: 18 + 4 = 22 5 + 7x = 22 + -1x Solving 5 + 7x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 7x + x = 22 + -1x + x Combine like terms: 7x + x = 8x 5 + 8x = 22 + -1x + x Combine like terms: -1x + x = 0 5 + 8x = 22 + 0 5 + 8x = 22 Add '-5' to each side of the equation. 5 + -5 + 8x = 22 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 22 + -5 8x = 22 + -5 Combine like terms: 22 + -5 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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