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Simplifying 13x + -12(x + 4) = 8x + 1 Reorder the terms: 13x + -12(4 + x) = 8x + 1 13x + (4 * -12 + x * -12) = 8x + 1 13x + (-48 + -12x) = 8x + 1 Reorder the terms: -48 + 13x + -12x = 8x + 1 Combine like terms: 13x + -12x = 1x -48 + 1x = 8x + 1 Reorder the terms: -48 + 1x = 1 + 8x Solving -48 + 1x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -48 + 1x + -8x = 1 + 8x + -8x Combine like terms: 1x + -8x = -7x -48 + -7x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -48 + -7x = 1 + 0 -48 + -7x = 1 Add '48' to each side of the equation. -48 + 48 + -7x = 1 + 48 Combine like terms: -48 + 48 = 0 0 + -7x = 1 + 48 -7x = 1 + 48 Combine like terms: 1 + 48 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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