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Simplifying 3(x + 1) + 2(x + -4) = 6x + 10 Reorder the terms: 3(1 + x) + 2(x + -4) = 6x + 10 (1 * 3 + x * 3) + 2(x + -4) = 6x + 10 (3 + 3x) + 2(x + -4) = 6x + 10 Reorder the terms: 3 + 3x + 2(-4 + x) = 6x + 10 3 + 3x + (-4 * 2 + x * 2) = 6x + 10 3 + 3x + (-8 + 2x) = 6x + 10 Reorder the terms: 3 + -8 + 3x + 2x = 6x + 10 Combine like terms: 3 + -8 = -5 -5 + 3x + 2x = 6x + 10 Combine like terms: 3x + 2x = 5x -5 + 5x = 6x + 10 Reorder the terms: -5 + 5x = 10 + 6x Solving -5 + 5x = 10 + 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. -5 + 5x + -6x = 10 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = 10 + 0 -5 + -1x = 10 Add '5' to each side of the equation. -5 + 5 + -1x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 10 + 5 -1x = 10 + 5 Combine like terms: 10 + 5 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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