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Simplifying -19(x + 3) + 6(4x + -4) = 4(x + -6) + 8 Reorder the terms: -19(3 + x) + 6(4x + -4) = 4(x + -6) + 8 (3 * -19 + x * -19) + 6(4x + -4) = 4(x + -6) + 8 (-57 + -19x) + 6(4x + -4) = 4(x + -6) + 8 Reorder the terms: -57 + -19x + 6(-4 + 4x) = 4(x + -6) + 8 -57 + -19x + (-4 * 6 + 4x * 6) = 4(x + -6) + 8 -57 + -19x + (-24 + 24x) = 4(x + -6) + 8 Reorder the terms: -57 + -24 + -19x + 24x = 4(x + -6) + 8 Combine like terms: -57 + -24 = -81 -81 + -19x + 24x = 4(x + -6) + 8 Combine like terms: -19x + 24x = 5x -81 + 5x = 4(x + -6) + 8 Reorder the terms: -81 + 5x = 4(-6 + x) + 8 -81 + 5x = (-6 * 4 + x * 4) + 8 -81 + 5x = (-24 + 4x) + 8 Reorder the terms: -81 + 5x = -24 + 8 + 4x Combine like terms: -24 + 8 = -16 -81 + 5x = -16 + 4x Solving -81 + 5x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -81 + 5x + -4x = -16 + 4x + -4x Combine like terms: 5x + -4x = 1x -81 + 1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -81 + 1x = -16 + 0 -81 + 1x = -16 Add '81' to each side of the equation. -81 + 81 + 1x = -16 + 81 Combine like terms: -81 + 81 = 0 0 + 1x = -16 + 81 1x = -16 + 81 Combine like terms: -16 + 81 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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