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Simplifying 52(x + -5) = 6(x + -8) Reorder the terms: 52(-5 + x) = 6(x + -8) (-5 * 52 + x * 52) = 6(x + -8) (-260 + 52x) = 6(x + -8) Reorder the terms: -260 + 52x = 6(-8 + x) -260 + 52x = (-8 * 6 + x * 6) -260 + 52x = (-48 + 6x) Solving -260 + 52x = -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. -260 + 52x + -6x = -48 + 6x + -6x Combine like terms: 52x + -6x = 46x -260 + 46x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -260 + 46x = -48 + 0 -260 + 46x = -48 Add '260' to each side of the equation. -260 + 260 + 46x = -48 + 260 Combine like terms: -260 + 260 = 0 0 + 46x = -48 + 260 46x = -48 + 260 Combine like terms: -48 + 260 = 212 46x = 212 Divide each side by '46'. x = 4.608695652 Simplifying x = 4.608695652
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