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Simplifying 3(5x + -3) + 3 = 3 + -2(x + -3) Reorder the terms: 3(-3 + 5x) + 3 = 3 + -2(x + -3) (-3 * 3 + 5x * 3) + 3 = 3 + -2(x + -3) (-9 + 15x) + 3 = 3 + -2(x + -3) Reorder the terms: -9 + 3 + 15x = 3 + -2(x + -3) Combine like terms: -9 + 3 = -6 -6 + 15x = 3 + -2(x + -3) Reorder the terms: -6 + 15x = 3 + -2(-3 + x) -6 + 15x = 3 + (-3 * -2 + x * -2) -6 + 15x = 3 + (6 + -2x) Combine like terms: 3 + 6 = 9 -6 + 15x = 9 + -2x Solving -6 + 15x = 9 + -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. -6 + 15x + 2x = 9 + -2x + 2x Combine like terms: 15x + 2x = 17x -6 + 17x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 17x = 9 + 0 -6 + 17x = 9 Add '6' to each side of the equation. -6 + 6 + 17x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = 9 + 6 17x = 9 + 6 Combine like terms: 9 + 6 = 15 17x = 15 Divide each side by '17'. x = 0.8823529412 Simplifying x = 0.8823529412
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