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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 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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