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Simplifying 8(4x + -2) + -96 = 6(40 + -3x) + 48 Reorder the terms: 8(-2 + 4x) + -96 = 6(40 + -3x) + 48 (-2 * 8 + 4x * 8) + -96 = 6(40 + -3x) + 48 (-16 + 32x) + -96 = 6(40 + -3x) + 48 Reorder the terms: -16 + -96 + 32x = 6(40 + -3x) + 48 Combine like terms: -16 + -96 = -112 -112 + 32x = 6(40 + -3x) + 48 -112 + 32x = (40 * 6 + -3x * 6) + 48 -112 + 32x = (240 + -18x) + 48 Reorder the terms: -112 + 32x = 240 + 48 + -18x Combine like terms: 240 + 48 = 288 -112 + 32x = 288 + -18x Solving -112 + 32x = 288 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -112 + 32x + 18x = 288 + -18x + 18x Combine like terms: 32x + 18x = 50x -112 + 50x = 288 + -18x + 18x Combine like terms: -18x + 18x = 0 -112 + 50x = 288 + 0 -112 + 50x = 288 Add '112' to each side of the equation. -112 + 112 + 50x = 288 + 112 Combine like terms: -112 + 112 = 0 0 + 50x = 288 + 112 50x = 288 + 112 Combine like terms: 288 + 112 = 400 50x = 400 Divide each side by '50'. x = 8 Simplifying x = 8
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