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Simplifying 4(x + -7) + -3(x + -5) = 1 Reorder the terms: 4(-7 + x) + -3(x + -5) = 1 (-7 * 4 + x * 4) + -3(x + -5) = 1 (-28 + 4x) + -3(x + -5) = 1 Reorder the terms: -28 + 4x + -3(-5 + x) = 1 -28 + 4x + (-5 * -3 + x * -3) = 1 -28 + 4x + (15 + -3x) = 1 Reorder the terms: -28 + 15 + 4x + -3x = 1 Combine like terms: -28 + 15 = -13 -13 + 4x + -3x = 1 Combine like terms: 4x + -3x = 1x -13 + 1x = 1 Solving -13 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 1 + 13 1x = 1 + 13 Combine like terms: 1 + 13 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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