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Simplifying 4 + -5x = 3 + -10x + -1(7 + -1x) 4 + -5x = 3 + -10x + (7 * -1 + -1x * -1) 4 + -5x = 3 + -10x + (-7 + 1x) Reorder the terms: 4 + -5x = 3 + -7 + -10x + 1x Combine like terms: 3 + -7 = -4 4 + -5x = -4 + -10x + 1x Combine like terms: -10x + 1x = -9x 4 + -5x = -4 + -9x Solving 4 + -5x = -4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 4 + -5x + 9x = -4 + -9x + 9x Combine like terms: -5x + 9x = 4x 4 + 4x = -4 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + 4x = -4 + 0 4 + 4x = -4 Add '-4' to each side of the equation. 4 + -4 + 4x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -4 + -4 4x = -4 + -4 Combine like terms: -4 + -4 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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