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Simplifying 8(2x + -10) + -3 = 8(x + -7) + (5) Reorder the terms: 8(-10 + 2x) + -3 = 8(x + -7) + (5) (-10 * 8 + 2x * 8) + -3 = 8(x + -7) + (5) (-80 + 16x) + -3 = 8(x + -7) + (5) Reorder the terms: -80 + -3 + 16x = 8(x + -7) + (5) Combine like terms: -80 + -3 = -83 -83 + 16x = 8(x + -7) + (5) Reorder the terms: -83 + 16x = 8(-7 + x) + (5) -83 + 16x = (-7 * 8 + x * 8) + (5) -83 + 16x = (-56 + 8x) + (5) -83 + 16x = -56 + 8x + 5 Reorder the terms: -83 + 16x = -56 + 5 + 8x Combine like terms: -56 + 5 = -51 -83 + 16x = -51 + 8x Solving -83 + 16x = -51 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -83 + 16x + -8x = -51 + 8x + -8x Combine like terms: 16x + -8x = 8x -83 + 8x = -51 + 8x + -8x Combine like terms: 8x + -8x = 0 -83 + 8x = -51 + 0 -83 + 8x = -51 Add '83' to each side of the equation. -83 + 83 + 8x = -51 + 83 Combine like terms: -83 + 83 = 0 0 + 8x = -51 + 83 8x = -51 + 83 Combine like terms: -51 + 83 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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