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Simplifying 9(2x + -3) + 3 = 4(6x + -4) + 21 Reorder the terms: 9(-3 + 2x) + 3 = 4(6x + -4) + 21 (-3 * 9 + 2x * 9) + 3 = 4(6x + -4) + 21 (-27 + 18x) + 3 = 4(6x + -4) + 21 Reorder the terms: -27 + 3 + 18x = 4(6x + -4) + 21 Combine like terms: -27 + 3 = -24 -24 + 18x = 4(6x + -4) + 21 Reorder the terms: -24 + 18x = 4(-4 + 6x) + 21 -24 + 18x = (-4 * 4 + 6x * 4) + 21 -24 + 18x = (-16 + 24x) + 21 Reorder the terms: -24 + 18x = -16 + 21 + 24x Combine like terms: -16 + 21 = 5 -24 + 18x = 5 + 24x Solving -24 + 18x = 5 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24 + 18x + -24x = 5 + 24x + -24x Combine like terms: 18x + -24x = -6x -24 + -6x = 5 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -6x = 5 + 0 -24 + -6x = 5 Add '24' to each side of the equation. -24 + 24 + -6x = 5 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 5 + 24 -6x = 5 + 24 Combine like terms: 5 + 24 = 29 -6x = 29 Divide each side by '-6'. x = -4.833333333 Simplifying x = -4.833333333
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