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Simplifying 5(3x + -8) + -22 = 6(x + -4) + 7 Reorder the terms: 5(-8 + 3x) + -22 = 6(x + -4) + 7 (-8 * 5 + 3x * 5) + -22 = 6(x + -4) + 7 (-40 + 15x) + -22 = 6(x + -4) + 7 Reorder the terms: -40 + -22 + 15x = 6(x + -4) + 7 Combine like terms: -40 + -22 = -62 -62 + 15x = 6(x + -4) + 7 Reorder the terms: -62 + 15x = 6(-4 + x) + 7 -62 + 15x = (-4 * 6 + x * 6) + 7 -62 + 15x = (-24 + 6x) + 7 Reorder the terms: -62 + 15x = -24 + 7 + 6x Combine like terms: -24 + 7 = -17 -62 + 15x = -17 + 6x Solving -62 + 15x = -17 + 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. -62 + 15x + -6x = -17 + 6x + -6x Combine like terms: 15x + -6x = 9x -62 + 9x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -62 + 9x = -17 + 0 -62 + 9x = -17 Add '62' to each side of the equation. -62 + 62 + 9x = -17 + 62 Combine like terms: -62 + 62 = 0 0 + 9x = -17 + 62 9x = -17 + 62 Combine like terms: -17 + 62 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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