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Simplifying -91 = -4(x + -1) + -13(-4x + 11) Reorder the terms: -91 = -4(-1 + x) + -13(-4x + 11) -91 = (-1 * -4 + x * -4) + -13(-4x + 11) -91 = (4 + -4x) + -13(-4x + 11) Reorder the terms: -91 = 4 + -4x + -13(11 + -4x) -91 = 4 + -4x + (11 * -13 + -4x * -13) -91 = 4 + -4x + (-143 + 52x) Reorder the terms: -91 = 4 + -143 + -4x + 52x Combine like terms: 4 + -143 = -139 -91 = -139 + -4x + 52x Combine like terms: -4x + 52x = 48x -91 = -139 + 48x Solving -91 = -139 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -91 + -48x = -139 + 48x + -48x Combine like terms: 48x + -48x = 0 -91 + -48x = -139 + 0 -91 + -48x = -139 Add '91' to each side of the equation. -91 + 91 + -48x = -139 + 91 Combine like terms: -91 + 91 = 0 0 + -48x = -139 + 91 -48x = -139 + 91 Combine like terms: -139 + 91 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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