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Simplifying 3(x + -5) = 5(2x + 1) + -4 Reorder the terms: 3(-5 + x) = 5(2x + 1) + -4 (-5 * 3 + x * 3) = 5(2x + 1) + -4 (-15 + 3x) = 5(2x + 1) + -4 Reorder the terms: -15 + 3x = 5(1 + 2x) + -4 -15 + 3x = (1 * 5 + 2x * 5) + -4 -15 + 3x = (5 + 10x) + -4 Reorder the terms: -15 + 3x = 5 + -4 + 10x Combine like terms: 5 + -4 = 1 -15 + 3x = 1 + 10x Solving -15 + 3x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 3x + -10x = 1 + 10x + -10x Combine like terms: 3x + -10x = -7x -15 + -7x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -7x = 1 + 0 -15 + -7x = 1 Add '15' to each side of the equation. -15 + 15 + -7x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 1 + 15 -7x = 1 + 15 Combine like terms: 1 + 15 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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