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Simplifying 4x + -1(8x + -13) = 12x + 3 Reorder the terms: 4x + -1(-13 + 8x) = 12x + 3 4x + (-13 * -1 + 8x * -1) = 12x + 3 4x + (13 + -8x) = 12x + 3 Reorder the terms: 13 + 4x + -8x = 12x + 3 Combine like terms: 4x + -8x = -4x 13 + -4x = 12x + 3 Reorder the terms: 13 + -4x = 3 + 12x Solving 13 + -4x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13 + -4x + -12x = 3 + 12x + -12x Combine like terms: -4x + -12x = -16x 13 + -16x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -16x = 3 + 0 13 + -16x = 3 Add '-13' to each side of the equation. 13 + -13 + -16x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -16x = 3 + -13 -16x = 3 + -13 Combine like terms: 3 + -13 = -10 -16x = -10 Divide each side by '-16'. x = 0.625 Simplifying x = 0.625
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