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Simplifying 21(x + 1) + -14(x + 1) = 12x Reorder the terms: 21(1 + x) + -14(x + 1) = 12x (1 * 21 + x * 21) + -14(x + 1) = 12x (21 + 21x) + -14(x + 1) = 12x Reorder the terms: 21 + 21x + -14(1 + x) = 12x 21 + 21x + (1 * -14 + x * -14) = 12x 21 + 21x + (-14 + -14x) = 12x Reorder the terms: 21 + -14 + 21x + -14x = 12x Combine like terms: 21 + -14 = 7 7 + 21x + -14x = 12x Combine like terms: 21x + -14x = 7x 7 + 7x = 12x Solving 7 + 7x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 7x + -12x = 12x + -12x Combine like terms: 7x + -12x = -5x 7 + -5x = 12x + -12x Combine like terms: 12x + -12x = 0 7 + -5x = 0 Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4
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