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Simplifying 8(x + -7) + 2 = 2x + -3 Reorder the terms: 8(-7 + x) + 2 = 2x + -3 (-7 * 8 + x * 8) + 2 = 2x + -3 (-56 + 8x) + 2 = 2x + -3 Reorder the terms: -56 + 2 + 8x = 2x + -3 Combine like terms: -56 + 2 = -54 -54 + 8x = 2x + -3 Reorder the terms: -54 + 8x = -3 + 2x Solving -54 + 8x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -54 + 8x + -2x = -3 + 2x + -2x Combine like terms: 8x + -2x = 6x -54 + 6x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + 6x = -3 + 0 -54 + 6x = -3 Add '54' to each side of the equation. -54 + 54 + 6x = -3 + 54 Combine like terms: -54 + 54 = 0 0 + 6x = -3 + 54 6x = -3 + 54 Combine like terms: -3 + 54 = 51 6x = 51 Divide each side by '6'. x = 8.5 Simplifying x = 8.5
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