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Simplifying 4(6x + 1) + -6(x + -4) = 2x + 68 Reorder the terms: 4(1 + 6x) + -6(x + -4) = 2x + 68 (1 * 4 + 6x * 4) + -6(x + -4) = 2x + 68 (4 + 24x) + -6(x + -4) = 2x + 68 Reorder the terms: 4 + 24x + -6(-4 + x) = 2x + 68 4 + 24x + (-4 * -6 + x * -6) = 2x + 68 4 + 24x + (24 + -6x) = 2x + 68 Reorder the terms: 4 + 24 + 24x + -6x = 2x + 68 Combine like terms: 4 + 24 = 28 28 + 24x + -6x = 2x + 68 Combine like terms: 24x + -6x = 18x 28 + 18x = 2x + 68 Reorder the terms: 28 + 18x = 68 + 2x Solving 28 + 18x = 68 + 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. 28 + 18x + -2x = 68 + 2x + -2x Combine like terms: 18x + -2x = 16x 28 + 16x = 68 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 16x = 68 + 0 28 + 16x = 68 Add '-28' to each side of the equation. 28 + -28 + 16x = 68 + -28 Combine like terms: 28 + -28 = 0 0 + 16x = 68 + -28 16x = 68 + -28 Combine like terms: 68 + -28 = 40 16x = 40 Divide each side by '16'. x = 2.5 Simplifying x = 2.5
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