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Simplifying 8(x + -30) + 8 = 5x + -22 Reorder the terms: 8(-30 + x) + 8 = 5x + -22 (-30 * 8 + x * 8) + 8 = 5x + -22 (-240 + 8x) + 8 = 5x + -22 Reorder the terms: -240 + 8 + 8x = 5x + -22 Combine like terms: -240 + 8 = -232 -232 + 8x = 5x + -22 Reorder the terms: -232 + 8x = -22 + 5x Solving -232 + 8x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -232 + 8x + -5x = -22 + 5x + -5x Combine like terms: 8x + -5x = 3x -232 + 3x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -232 + 3x = -22 + 0 -232 + 3x = -22 Add '232' to each side of the equation. -232 + 232 + 3x = -22 + 232 Combine like terms: -232 + 232 = 0 0 + 3x = -22 + 232 3x = -22 + 232 Combine like terms: -22 + 232 = 210 3x = 210 Divide each side by '3'. x = 70 Simplifying x = 70
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