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Simplifying 5x + -3(2x + 4) = 3(x + -9) Reorder the terms: 5x + -3(4 + 2x) = 3(x + -9) 5x + (4 * -3 + 2x * -3) = 3(x + -9) 5x + (-12 + -6x) = 3(x + -9) Reorder the terms: -12 + 5x + -6x = 3(x + -9) Combine like terms: 5x + -6x = -1x -12 + -1x = 3(x + -9) Reorder the terms: -12 + -1x = 3(-9 + x) -12 + -1x = (-9 * 3 + x * 3) -12 + -1x = (-27 + 3x) Solving -12 + -1x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -1x + -3x = -27 + 3x + -3x Combine like terms: -1x + -3x = -4x -12 + -4x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -4x = -27 + 0 -12 + -4x = -27 Add '12' to each side of the equation. -12 + 12 + -4x = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -27 + 12 -4x = -27 + 12 Combine like terms: -27 + 12 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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