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Simplifying 8(x + 5) + -7(x + -4) = 3x + 4 Reorder the terms: 8(5 + x) + -7(x + -4) = 3x + 4 (5 * 8 + x * 8) + -7(x + -4) = 3x + 4 (40 + 8x) + -7(x + -4) = 3x + 4 Reorder the terms: 40 + 8x + -7(-4 + x) = 3x + 4 40 + 8x + (-4 * -7 + x * -7) = 3x + 4 40 + 8x + (28 + -7x) = 3x + 4 Reorder the terms: 40 + 28 + 8x + -7x = 3x + 4 Combine like terms: 40 + 28 = 68 68 + 8x + -7x = 3x + 4 Combine like terms: 8x + -7x = 1x 68 + 1x = 3x + 4 Reorder the terms: 68 + 1x = 4 + 3x Solving 68 + 1x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 68 + 1x + -3x = 4 + 3x + -3x Combine like terms: 1x + -3x = -2x 68 + -2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 68 + -2x = 4 + 0 68 + -2x = 4 Add '-68' to each side of the equation. 68 + -68 + -2x = 4 + -68 Combine like terms: 68 + -68 = 0 0 + -2x = 4 + -68 -2x = 4 + -68 Combine like terms: 4 + -68 = -64 -2x = -64 Divide each side by '-2'. x = 32 Simplifying x = 32
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