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Simplifying -19(x + 2) + 6(4x + -5) = 4(x + -4) + 13 Reorder the terms: -19(2 + x) + 6(4x + -5) = 4(x + -4) + 13 (2 * -19 + x * -19) + 6(4x + -5) = 4(x + -4) + 13 (-38 + -19x) + 6(4x + -5) = 4(x + -4) + 13 Reorder the terms: -38 + -19x + 6(-5 + 4x) = 4(x + -4) + 13 -38 + -19x + (-5 * 6 + 4x * 6) = 4(x + -4) + 13 -38 + -19x + (-30 + 24x) = 4(x + -4) + 13 Reorder the terms: -38 + -30 + -19x + 24x = 4(x + -4) + 13 Combine like terms: -38 + -30 = -68 -68 + -19x + 24x = 4(x + -4) + 13 Combine like terms: -19x + 24x = 5x -68 + 5x = 4(x + -4) + 13 Reorder the terms: -68 + 5x = 4(-4 + x) + 13 -68 + 5x = (-4 * 4 + x * 4) + 13 -68 + 5x = (-16 + 4x) + 13 Reorder the terms: -68 + 5x = -16 + 13 + 4x Combine like terms: -16 + 13 = -3 -68 + 5x = -3 + 4x Solving -68 + 5x = -3 + 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. -68 + 5x + -4x = -3 + 4x + -4x Combine like terms: 5x + -4x = 1x -68 + 1x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -68 + 1x = -3 + 0 -68 + 1x = -3 Add '68' to each side of the equation. -68 + 68 + 1x = -3 + 68 Combine like terms: -68 + 68 = 0 0 + 1x = -3 + 68 1x = -3 + 68 Combine like terms: -3 + 68 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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