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Simplifying -133 = 8x + 7(x + -4) Reorder the terms: -133 = 8x + 7(-4 + x) -133 = 8x + (-4 * 7 + x * 7) -133 = 8x + (-28 + 7x) Reorder the terms: -133 = -28 + 8x + 7x Combine like terms: 8x + 7x = 15x -133 = -28 + 15x Solving -133 = -28 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -133 + -15x = -28 + 15x + -15x Combine like terms: 15x + -15x = 0 -133 + -15x = -28 + 0 -133 + -15x = -28 Add '133' to each side of the equation. -133 + 133 + -15x = -28 + 133 Combine like terms: -133 + 133 = 0 0 + -15x = -28 + 133 -15x = -28 + 133 Combine like terms: -28 + 133 = 105 -15x = 105 Divide each side by '-15'. x = -7 Simplifying x = -7
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