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Simplifying 4(x + -2) = 9(x + 3) Reorder the terms: 4(-2 + x) = 9(x + 3) (-2 * 4 + x * 4) = 9(x + 3) (-8 + 4x) = 9(x + 3) Reorder the terms: -8 + 4x = 9(3 + x) -8 + 4x = (3 * 9 + x * 9) -8 + 4x = (27 + 9x) Solving -8 + 4x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 4x + -9x = 27 + 9x + -9x Combine like terms: 4x + -9x = -5x -8 + -5x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -5x = 27 + 0 -8 + -5x = 27 Add '8' to each side of the equation. -8 + 8 + -5x = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 27 + 8 -5x = 27 + 8 Combine like terms: 27 + 8 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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