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Simplifying 7x + 3(x + -5) = 6(x + 1) + -2 Reorder the terms: 7x + 3(-5 + x) = 6(x + 1) + -2 7x + (-5 * 3 + x * 3) = 6(x + 1) + -2 7x + (-15 + 3x) = 6(x + 1) + -2 Reorder the terms: -15 + 7x + 3x = 6(x + 1) + -2 Combine like terms: 7x + 3x = 10x -15 + 10x = 6(x + 1) + -2 Reorder the terms: -15 + 10x = 6(1 + x) + -2 -15 + 10x = (1 * 6 + x * 6) + -2 -15 + 10x = (6 + 6x) + -2 Reorder the terms: -15 + 10x = 6 + -2 + 6x Combine like terms: 6 + -2 = 4 -15 + 10x = 4 + 6x Solving -15 + 10x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 10x + -6x = 4 + 6x + -6x Combine like terms: 10x + -6x = 4x -15 + 4x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 4x = 4 + 0 -15 + 4x = 4 Add '15' to each side of the equation. -15 + 15 + 4x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 4 + 15 4x = 4 + 15 Combine like terms: 4 + 15 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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