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Simplifying 48(2x + -5) + -36(2x + -3) = 12(x + -6) Reorder the terms: 48(-5 + 2x) + -36(2x + -3) = 12(x + -6) (-5 * 48 + 2x * 48) + -36(2x + -3) = 12(x + -6) (-240 + 96x) + -36(2x + -3) = 12(x + -6) Reorder the terms: -240 + 96x + -36(-3 + 2x) = 12(x + -6) -240 + 96x + (-3 * -36 + 2x * -36) = 12(x + -6) -240 + 96x + (108 + -72x) = 12(x + -6) Reorder the terms: -240 + 108 + 96x + -72x = 12(x + -6) Combine like terms: -240 + 108 = -132 -132 + 96x + -72x = 12(x + -6) Combine like terms: 96x + -72x = 24x -132 + 24x = 12(x + -6) Reorder the terms: -132 + 24x = 12(-6 + x) -132 + 24x = (-6 * 12 + x * 12) -132 + 24x = (-72 + 12x) Solving -132 + 24x = -72 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -132 + 24x + -12x = -72 + 12x + -12x Combine like terms: 24x + -12x = 12x -132 + 12x = -72 + 12x + -12x Combine like terms: 12x + -12x = 0 -132 + 12x = -72 + 0 -132 + 12x = -72 Add '132' to each side of the equation. -132 + 132 + 12x = -72 + 132 Combine like terms: -132 + 132 = 0 0 + 12x = -72 + 132 12x = -72 + 132 Combine like terms: -72 + 132 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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