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Simplifying 3x + 5 = 4(x + -6) Reorder the terms: 5 + 3x = 4(x + -6) Reorder the terms: 5 + 3x = 4(-6 + x) 5 + 3x = (-6 * 4 + x * 4) 5 + 3x = (-24 + 4x) Solving 5 + 3x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 3x + -4x = -24 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = -24 + 0 5 + -1x = -24 Add '-5' to each side of the equation. 5 + -5 + -1x = -24 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -24 + -5 -1x = -24 + -5 Combine like terms: -24 + -5 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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