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Simplifying 4(x + -1) + -3(x + 5) = 7 Reorder the terms: 4(-1 + x) + -3(x + 5) = 7 (-1 * 4 + x * 4) + -3(x + 5) = 7 (-4 + 4x) + -3(x + 5) = 7 Reorder the terms: -4 + 4x + -3(5 + x) = 7 -4 + 4x + (5 * -3 + x * -3) = 7 -4 + 4x + (-15 + -3x) = 7 Reorder the terms: -4 + -15 + 4x + -3x = 7 Combine like terms: -4 + -15 = -19 -19 + 4x + -3x = 7 Combine like terms: 4x + -3x = 1x -19 + 1x = 7 Solving -19 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = 7 + 19 1x = 7 + 19 Combine like terms: 7 + 19 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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