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Simplifying 6(4x + -1) + -4(2x + -6) = 15x + 6 Reorder the terms: 6(-1 + 4x) + -4(2x + -6) = 15x + 6 (-1 * 6 + 4x * 6) + -4(2x + -6) = 15x + 6 (-6 + 24x) + -4(2x + -6) = 15x + 6 Reorder the terms: -6 + 24x + -4(-6 + 2x) = 15x + 6 -6 + 24x + (-6 * -4 + 2x * -4) = 15x + 6 -6 + 24x + (24 + -8x) = 15x + 6 Reorder the terms: -6 + 24 + 24x + -8x = 15x + 6 Combine like terms: -6 + 24 = 18 18 + 24x + -8x = 15x + 6 Combine like terms: 24x + -8x = 16x 18 + 16x = 15x + 6 Reorder the terms: 18 + 16x = 6 + 15x Solving 18 + 16x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 16x + -15x = 6 + 15x + -15x Combine like terms: 16x + -15x = 1x 18 + 1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + 1x = 6 + 0 18 + 1x = 6 Add '-18' to each side of the equation. 18 + -18 + 1x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 6 + -18 1x = 6 + -18 Combine like terms: 6 + -18 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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