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Simplifying 4(6x + -1) + -5(3x + -13) = 8x + 8 Reorder the terms: 4(-1 + 6x) + -5(3x + -13) = 8x + 8 (-1 * 4 + 6x * 4) + -5(3x + -13) = 8x + 8 (-4 + 24x) + -5(3x + -13) = 8x + 8 Reorder the terms: -4 + 24x + -5(-13 + 3x) = 8x + 8 -4 + 24x + (-13 * -5 + 3x * -5) = 8x + 8 -4 + 24x + (65 + -15x) = 8x + 8 Reorder the terms: -4 + 65 + 24x + -15x = 8x + 8 Combine like terms: -4 + 65 = 61 61 + 24x + -15x = 8x + 8 Combine like terms: 24x + -15x = 9x 61 + 9x = 8x + 8 Reorder the terms: 61 + 9x = 8 + 8x Solving 61 + 9x = 8 + 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. 61 + 9x + -8x = 8 + 8x + -8x Combine like terms: 9x + -8x = 1x 61 + 1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 61 + 1x = 8 + 0 61 + 1x = 8 Add '-61' to each side of the equation. 61 + -61 + 1x = 8 + -61 Combine like terms: 61 + -61 = 0 0 + 1x = 8 + -61 1x = 8 + -61 Combine like terms: 8 + -61 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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