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Simplifying 5(x + 4) + -3(x + -6) = 6(x + -7) Reorder the terms: 5(4 + x) + -3(x + -6) = 6(x + -7) (4 * 5 + x * 5) + -3(x + -6) = 6(x + -7) (20 + 5x) + -3(x + -6) = 6(x + -7) Reorder the terms: 20 + 5x + -3(-6 + x) = 6(x + -7) 20 + 5x + (-6 * -3 + x * -3) = 6(x + -7) 20 + 5x + (18 + -3x) = 6(x + -7) Reorder the terms: 20 + 18 + 5x + -3x = 6(x + -7) Combine like terms: 20 + 18 = 38 38 + 5x + -3x = 6(x + -7) Combine like terms: 5x + -3x = 2x 38 + 2x = 6(x + -7) Reorder the terms: 38 + 2x = 6(-7 + x) 38 + 2x = (-7 * 6 + x * 6) 38 + 2x = (-42 + 6x) Solving 38 + 2x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + 2x + -6x = -42 + 6x + -6x Combine like terms: 2x + -6x = -4x 38 + -4x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -4x = -42 + 0 38 + -4x = -42 Add '-38' to each side of the equation. 38 + -38 + -4x = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = -42 + -38 -4x = -42 + -38 Combine like terms: -42 + -38 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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