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Simplifying 7 + -4(3x + -10) = 4x + -11 + -7 Reorder the terms: 7 + -4(-10 + 3x) = 4x + -11 + -7 7 + (-10 * -4 + 3x * -4) = 4x + -11 + -7 7 + (40 + -12x) = 4x + -11 + -7 Combine like terms: 7 + 40 = 47 47 + -12x = 4x + -11 + -7 Reorder the terms: 47 + -12x = -11 + -7 + 4x Combine like terms: -11 + -7 = -18 47 + -12x = -18 + 4x Solving 47 + -12x = -18 + 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. 47 + -12x + -4x = -18 + 4x + -4x Combine like terms: -12x + -4x = -16x 47 + -16x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + -16x = -18 + 0 47 + -16x = -18 Add '-47' to each side of the equation. 47 + -47 + -16x = -18 + -47 Combine like terms: 47 + -47 = 0 0 + -16x = -18 + -47 -16x = -18 + -47 Combine like terms: -18 + -47 = -65 -16x = -65 Divide each side by '-16'. x = 4.0625 Simplifying x = 4.0625
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