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Simplifying 7 + x + 10 = -7x + -4(1 + -1x) Reorder the terms: 7 + 10 + x = -7x + -4(1 + -1x) Combine like terms: 7 + 10 = 17 17 + x = -7x + -4(1 + -1x) 17 + x = -7x + (1 * -4 + -1x * -4) 17 + x = -7x + (-4 + 4x) Reorder the terms: 17 + x = -4 + -7x + 4x Combine like terms: -7x + 4x = -3x 17 + x = -4 + -3x Solving 17 + x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + x + 3x = -4 + -3x + 3x Combine like terms: x + 3x = 4x 17 + 4x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 4x = -4 + 0 17 + 4x = -4 Add '-17' to each side of the equation. 17 + -17 + 4x = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = -4 + -17 4x = -4 + -17 Combine like terms: -4 + -17 = -21 4x = -21 Divide each side by '4'. x = -5.25 Simplifying x = -5.25
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