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Simplifying 5(4 + -3x) = 1 + -1(13 + -1x) (4 * 5 + -3x * 5) = 1 + -1(13 + -1x) (20 + -15x) = 1 + -1(13 + -1x) 20 + -15x = 1 + (13 * -1 + -1x * -1) 20 + -15x = 1 + (-13 + 1x) Combine like terms: 1 + -13 = -12 20 + -15x = -12 + 1x Solving 20 + -15x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + -15x + -1x = -12 + 1x + -1x Combine like terms: -15x + -1x = -16x 20 + -16x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 20 + -16x = -12 + 0 20 + -16x = -12 Add '-20' to each side of the equation. 20 + -20 + -16x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = -12 + -20 -16x = -12 + -20 Combine like terms: -12 + -20 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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