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Simplifying -4x + 13 = 3(x + -8) + 4 Reorder the terms: 13 + -4x = 3(x + -8) + 4 Reorder the terms: 13 + -4x = 3(-8 + x) + 4 13 + -4x = (-8 * 3 + x * 3) + 4 13 + -4x = (-24 + 3x) + 4 Reorder the terms: 13 + -4x = -24 + 4 + 3x Combine like terms: -24 + 4 = -20 13 + -4x = -20 + 3x Solving 13 + -4x = -20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + -4x + -3x = -20 + 3x + -3x Combine like terms: -4x + -3x = -7x 13 + -7x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -7x = -20 + 0 13 + -7x = -20 Add '-13' to each side of the equation. 13 + -13 + -7x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -20 + -13 -7x = -20 + -13 Combine like terms: -20 + -13 = -33 -7x = -33 Divide each side by '-7'. x = 4.714285714 Simplifying x = 4.714285714
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