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Simplifying 8(x + 4) + -3(x + -7) = 4x + 7 Reorder the terms: 8(4 + x) + -3(x + -7) = 4x + 7 (4 * 8 + x * 8) + -3(x + -7) = 4x + 7 (32 + 8x) + -3(x + -7) = 4x + 7 Reorder the terms: 32 + 8x + -3(-7 + x) = 4x + 7 32 + 8x + (-7 * -3 + x * -3) = 4x + 7 32 + 8x + (21 + -3x) = 4x + 7 Reorder the terms: 32 + 21 + 8x + -3x = 4x + 7 Combine like terms: 32 + 21 = 53 53 + 8x + -3x = 4x + 7 Combine like terms: 8x + -3x = 5x 53 + 5x = 4x + 7 Reorder the terms: 53 + 5x = 7 + 4x Solving 53 + 5x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 53 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x 53 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 53 + 1x = 7 + 0 53 + 1x = 7 Add '-53' to each side of the equation. 53 + -53 + 1x = 7 + -53 Combine like terms: 53 + -53 = 0 0 + 1x = 7 + -53 1x = 7 + -53 Combine like terms: 7 + -53 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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