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Simplifying 2(x + -3) + 4x + -3 = 3(5x + 9) Reorder the terms: 2(-3 + x) + 4x + -3 = 3(5x + 9) (-3 * 2 + x * 2) + 4x + -3 = 3(5x + 9) (-6 + 2x) + 4x + -3 = 3(5x + 9) Reorder the terms: -6 + -3 + 2x + 4x = 3(5x + 9) Combine like terms: -6 + -3 = -9 -9 + 2x + 4x = 3(5x + 9) Combine like terms: 2x + 4x = 6x -9 + 6x = 3(5x + 9) Reorder the terms: -9 + 6x = 3(9 + 5x) -9 + 6x = (9 * 3 + 5x * 3) -9 + 6x = (27 + 15x) Solving -9 + 6x = 27 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -9 + 6x + -15x = 27 + 15x + -15x Combine like terms: 6x + -15x = -9x -9 + -9x = 27 + 15x + -15x Combine like terms: 15x + -15x = 0 -9 + -9x = 27 + 0 -9 + -9x = 27 Add '9' to each side of the equation. -9 + 9 + -9x = 27 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = 27 + 9 -9x = 27 + 9 Combine like terms: 27 + 9 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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