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Simplifying 3x(-5) = 2(x + 1) + 6 Reorder the terms for easier multiplication: 3 * -5x = 2(x + 1) + 6 Multiply 3 * -5 -15x = 2(x + 1) + 6 Reorder the terms: -15x = 2(1 + x) + 6 -15x = (1 * 2 + x * 2) + 6 -15x = (2 + 2x) + 6 Reorder the terms: -15x = 2 + 6 + 2x Combine like terms: 2 + 6 = 8 -15x = 8 + 2x Solving -15x = 8 + 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. -15x + -2x = 8 + 2x + -2x Combine like terms: -15x + -2x = -17x -17x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -17x = 8 + 0 -17x = 8 Divide each side by '-17'. x = -0.4705882353 Simplifying x = -0.4705882353
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