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Simplifying 8 + 4(7 + -6x) = 21 + -19x 8 + (7 * 4 + -6x * 4) = 21 + -19x 8 + (28 + -24x) = 21 + -19x Combine like terms: 8 + 28 = 36 36 + -24x = 21 + -19x Solving 36 + -24x = 21 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 36 + -24x + 19x = 21 + -19x + 19x Combine like terms: -24x + 19x = -5x 36 + -5x = 21 + -19x + 19x Combine like terms: -19x + 19x = 0 36 + -5x = 21 + 0 36 + -5x = 21 Add '-36' to each side of the equation. 36 + -36 + -5x = 21 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 21 + -36 -5x = 21 + -36 Combine like terms: 21 + -36 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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