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Simplifying 6(x + 1) + -3(x + 7) = 2x + 4 Reorder the terms: 6(1 + x) + -3(x + 7) = 2x + 4 (1 * 6 + x * 6) + -3(x + 7) = 2x + 4 (6 + 6x) + -3(x + 7) = 2x + 4 Reorder the terms: 6 + 6x + -3(7 + x) = 2x + 4 6 + 6x + (7 * -3 + x * -3) = 2x + 4 6 + 6x + (-21 + -3x) = 2x + 4 Reorder the terms: 6 + -21 + 6x + -3x = 2x + 4 Combine like terms: 6 + -21 = -15 -15 + 6x + -3x = 2x + 4 Combine like terms: 6x + -3x = 3x -15 + 3x = 2x + 4 Reorder the terms: -15 + 3x = 4 + 2x Solving -15 + 3x = 4 + 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. -15 + 3x + -2x = 4 + 2x + -2x Combine like terms: 3x + -2x = 1x -15 + 1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 1x = 4 + 0 -15 + 1x = 4 Add '15' to each side of the equation. -15 + 15 + 1x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 4 + 15 1x = 4 + 15 Combine like terms: 4 + 15 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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