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Simplifying 3(5x + -3) = 4(2x + 1) + -6x Reorder the terms: 3(-3 + 5x) = 4(2x + 1) + -6x (-3 * 3 + 5x * 3) = 4(2x + 1) + -6x (-9 + 15x) = 4(2x + 1) + -6x Reorder the terms: -9 + 15x = 4(1 + 2x) + -6x -9 + 15x = (1 * 4 + 2x * 4) + -6x -9 + 15x = (4 + 8x) + -6x Combine like terms: 8x + -6x = 2x -9 + 15x = 4 + 2x Solving -9 + 15x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 15x + -2x = 4 + 2x + -2x Combine like terms: 15x + -2x = 13x -9 + 13x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 13x = 4 + 0 -9 + 13x = 4 Add '9' to each side of the equation. -9 + 9 + 13x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = 4 + 9 13x = 4 + 9 Combine like terms: 4 + 9 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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