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Simplifying (3x + 4) + -1(10x + -40) = x + 4 Reorder the terms: (4 + 3x) + -1(10x + -40) = x + 4 Remove parenthesis around (4 + 3x) 4 + 3x + -1(10x + -40) = x + 4 Reorder the terms: 4 + 3x + -1(-40 + 10x) = x + 4 4 + 3x + (-40 * -1 + 10x * -1) = x + 4 4 + 3x + (40 + -10x) = x + 4 Reorder the terms: 4 + 40 + 3x + -10x = x + 4 Combine like terms: 4 + 40 = 44 44 + 3x + -10x = x + 4 Combine like terms: 3x + -10x = -7x 44 + -7x = x + 4 Reorder the terms: 44 + -7x = 4 + x Solving 44 + -7x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 44 + -7x + -1x = 4 + x + -1x Combine like terms: -7x + -1x = -8x 44 + -8x = 4 + x + -1x Combine like terms: x + -1x = 0 44 + -8x = 4 + 0 44 + -8x = 4 Add '-44' to each side of the equation. 44 + -44 + -8x = 4 + -44 Combine like terms: 44 + -44 = 0 0 + -8x = 4 + -44 -8x = 4 + -44 Combine like terms: 4 + -44 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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