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Simplifying -13x + 4(x + -4) = 14 + -3(2 + -13x) Reorder the terms: -13x + 4(-4 + x) = 14 + -3(2 + -13x) -13x + (-4 * 4 + x * 4) = 14 + -3(2 + -13x) -13x + (-16 + 4x) = 14 + -3(2 + -13x) Reorder the terms: -16 + -13x + 4x = 14 + -3(2 + -13x) Combine like terms: -13x + 4x = -9x -16 + -9x = 14 + -3(2 + -13x) -16 + -9x = 14 + (2 * -3 + -13x * -3) -16 + -9x = 14 + (-6 + 39x) Combine like terms: 14 + -6 = 8 -16 + -9x = 8 + 39x Solving -16 + -9x = 8 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. -16 + -9x + -39x = 8 + 39x + -39x Combine like terms: -9x + -39x = -48x -16 + -48x = 8 + 39x + -39x Combine like terms: 39x + -39x = 0 -16 + -48x = 8 + 0 -16 + -48x = 8 Add '16' to each side of the equation. -16 + 16 + -48x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -48x = 8 + 16 -48x = 8 + 16 Combine like terms: 8 + 16 = 24 -48x = 24 Divide each side by '-48'. x = -0.5 Simplifying x = -0.5
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