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Simplifying (-4x + 7) + -1(5 + 3x) = -1x + -10 Reorder the terms: (7 + -4x) + -1(5 + 3x) = -1x + -10 Remove parenthesis around (7 + -4x) 7 + -4x + -1(5 + 3x) = -1x + -10 7 + -4x + (5 * -1 + 3x * -1) = -1x + -10 7 + -4x + (-5 + -3x) = -1x + -10 Reorder the terms: 7 + -5 + -4x + -3x = -1x + -10 Combine like terms: 7 + -5 = 2 2 + -4x + -3x = -1x + -10 Combine like terms: -4x + -3x = -7x 2 + -7x = -1x + -10 Reorder the terms: 2 + -7x = -10 + -1x Solving 2 + -7x = -10 + -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. 2 + -7x + x = -10 + -1x + x Combine like terms: -7x + x = -6x 2 + -6x = -10 + -1x + x Combine like terms: -1x + x = 0 2 + -6x = -10 + 0 2 + -6x = -10 Add '-2' to each side of the equation. 2 + -2 + -6x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -10 + -2 -6x = -10 + -2 Combine like terms: -10 + -2 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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