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Simplifying 22 + 3x = 6(4x + -7) + -5x Reorder the terms: 22 + 3x = 6(-7 + 4x) + -5x 22 + 3x = (-7 * 6 + 4x * 6) + -5x 22 + 3x = (-42 + 24x) + -5x Combine like terms: 24x + -5x = 19x 22 + 3x = -42 + 19x Solving 22 + 3x = -42 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 22 + 3x + -19x = -42 + 19x + -19x Combine like terms: 3x + -19x = -16x 22 + -16x = -42 + 19x + -19x Combine like terms: 19x + -19x = 0 22 + -16x = -42 + 0 22 + -16x = -42 Add '-22' to each side of the equation. 22 + -22 + -16x = -42 + -22 Combine like terms: 22 + -22 = 0 0 + -16x = -42 + -22 -16x = -42 + -22 Combine like terms: -42 + -22 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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