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Simplifying 4(-3x + -5) + 4 = 10 + -11(x + 3) Reorder the terms: 4(-5 + -3x) + 4 = 10 + -11(x + 3) (-5 * 4 + -3x * 4) + 4 = 10 + -11(x + 3) (-20 + -12x) + 4 = 10 + -11(x + 3) Reorder the terms: -20 + 4 + -12x = 10 + -11(x + 3) Combine like terms: -20 + 4 = -16 -16 + -12x = 10 + -11(x + 3) Reorder the terms: -16 + -12x = 10 + -11(3 + x) -16 + -12x = 10 + (3 * -11 + x * -11) -16 + -12x = 10 + (-33 + -11x) Combine like terms: 10 + -33 = -23 -16 + -12x = -23 + -11x Solving -16 + -12x = -23 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -16 + -12x + 11x = -23 + -11x + 11x Combine like terms: -12x + 11x = -1x -16 + -1x = -23 + -11x + 11x Combine like terms: -11x + 11x = 0 -16 + -1x = -23 + 0 -16 + -1x = -23 Add '16' to each side of the equation. -16 + 16 + -1x = -23 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -23 + 16 -1x = -23 + 16 Combine like terms: -23 + 16 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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