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Simplifying 4(2x) + -3(3x + -5) = 12x + -180 Remove parenthesis around (2x) 4 * 2x + -3(3x + -5) = 12x + -180 Multiply 4 * 2 8x + -3(3x + -5) = 12x + -180 Reorder the terms: 8x + -3(-5 + 3x) = 12x + -180 8x + (-5 * -3 + 3x * -3) = 12x + -180 8x + (15 + -9x) = 12x + -180 Reorder the terms: 15 + 8x + -9x = 12x + -180 Combine like terms: 8x + -9x = -1x 15 + -1x = 12x + -180 Reorder the terms: 15 + -1x = -180 + 12x Solving 15 + -1x = -180 + 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. 15 + -1x + -12x = -180 + 12x + -12x Combine like terms: -1x + -12x = -13x 15 + -13x = -180 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -13x = -180 + 0 15 + -13x = -180 Add '-15' to each side of the equation. 15 + -15 + -13x = -180 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = -180 + -15 -13x = -180 + -15 Combine like terms: -180 + -15 = -195 -13x = -195 Divide each side by '-13'. x = 15 Simplifying x = 15
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