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Simplifying 10 + -1x + -3 = 7x + -23 Reorder the terms: 10 + -3 + -1x = 7x + -23 Combine like terms: 10 + -3 = 7 7 + -1x = 7x + -23 Reorder the terms: 7 + -1x = -23 + 7x Solving 7 + -1x = -23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + -1x + -7x = -23 + 7x + -7x Combine like terms: -1x + -7x = -8x 7 + -8x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -8x = -23 + 0 7 + -8x = -23 Add '-7' to each side of the equation. 7 + -7 + -8x = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = -23 + -7 -8x = -23 + -7 Combine like terms: -23 + -7 = -30 -8x = -30 Divide each side by '-8'. x = 3.75 Simplifying x = 3.75
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