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Simplifying 4(6x + -1) + -3(5x + -11) = 8x + -6 Reorder the terms: 4(-1 + 6x) + -3(5x + -11) = 8x + -6 (-1 * 4 + 6x * 4) + -3(5x + -11) = 8x + -6 (-4 + 24x) + -3(5x + -11) = 8x + -6 Reorder the terms: -4 + 24x + -3(-11 + 5x) = 8x + -6 -4 + 24x + (-11 * -3 + 5x * -3) = 8x + -6 -4 + 24x + (33 + -15x) = 8x + -6 Reorder the terms: -4 + 33 + 24x + -15x = 8x + -6 Combine like terms: -4 + 33 = 29 29 + 24x + -15x = 8x + -6 Combine like terms: 24x + -15x = 9x 29 + 9x = 8x + -6 Reorder the terms: 29 + 9x = -6 + 8x Solving 29 + 9x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 29 + 9x + -8x = -6 + 8x + -8x Combine like terms: 9x + -8x = 1x 29 + 1x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + 1x = -6 + 0 29 + 1x = -6 Add '-29' to each side of the equation. 29 + -29 + 1x = -6 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = -6 + -29 1x = -6 + -29 Combine like terms: -6 + -29 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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