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Simplifying 4(x + -5) = 6(x + -8) Reorder the terms: 4(-5 + x) = 6(x + -8) (-5 * 4 + x * 4) = 6(x + -8) (-20 + 4x) = 6(x + -8) Reorder the terms: -20 + 4x = 6(-8 + x) -20 + 4x = (-8 * 6 + x * 6) -20 + 4x = (-48 + 6x) Solving -20 + 4x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 4x + -6x = -48 + 6x + -6x Combine like terms: 4x + -6x = -2x -20 + -2x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -2x = -48 + 0 -20 + -2x = -48 Add '20' to each side of the equation. -20 + 20 + -2x = -48 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -48 + 20 -2x = -48 + 20 Combine like terms: -48 + 20 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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