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Simplifying -74 = -8(3x + 3) + -7(-4x + 6) Reorder the terms: -74 = -8(3 + 3x) + -7(-4x + 6) -74 = (3 * -8 + 3x * -8) + -7(-4x + 6) -74 = (-24 + -24x) + -7(-4x + 6) Reorder the terms: -74 = -24 + -24x + -7(6 + -4x) -74 = -24 + -24x + (6 * -7 + -4x * -7) -74 = -24 + -24x + (-42 + 28x) Reorder the terms: -74 = -24 + -42 + -24x + 28x Combine like terms: -24 + -42 = -66 -74 = -66 + -24x + 28x Combine like terms: -24x + 28x = 4x -74 = -66 + 4x Solving -74 = -66 + 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. -74 + -4x = -66 + 4x + -4x Combine like terms: 4x + -4x = 0 -74 + -4x = -66 + 0 -74 + -4x = -66 Add '74' to each side of the equation. -74 + 74 + -4x = -66 + 74 Combine like terms: -74 + 74 = 0 0 + -4x = -66 + 74 -4x = -66 + 74 Combine like terms: -66 + 74 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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