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Simplifying -84(x + -37) = x + 8(3x + -6) + 7x Reorder the terms: -84(-37 + x) = x + 8(3x + -6) + 7x (-37 * -84 + x * -84) = x + 8(3x + -6) + 7x (3108 + -84x) = x + 8(3x + -6) + 7x Reorder the terms: 3108 + -84x = x + 8(-6 + 3x) + 7x 3108 + -84x = x + (-6 * 8 + 3x * 8) + 7x 3108 + -84x = x + (-48 + 24x) + 7x Reorder the terms: 3108 + -84x = -48 + x + 24x + 7x Combine like terms: x + 24x = 25x 3108 + -84x = -48 + 25x + 7x Combine like terms: 25x + 7x = 32x 3108 + -84x = -48 + 32x Solving 3108 + -84x = -48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 3108 + -84x + -32x = -48 + 32x + -32x Combine like terms: -84x + -32x = -116x 3108 + -116x = -48 + 32x + -32x Combine like terms: 32x + -32x = 0 3108 + -116x = -48 + 0 3108 + -116x = -48 Add '-3108' to each side of the equation. 3108 + -3108 + -116x = -48 + -3108 Combine like terms: 3108 + -3108 = 0 0 + -116x = -48 + -3108 -116x = -48 + -3108 Combine like terms: -48 + -3108 = -3156 -116x = -3156 Divide each side by '-116'. x = 27.20689655 Simplifying x = 27.20689655
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