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Simplifying 4 + 5(1 + -3x) = -3(7 + 4x) 4 + (1 * 5 + -3x * 5) = -3(7 + 4x) 4 + (5 + -15x) = -3(7 + 4x) Combine like terms: 4 + 5 = 9 9 + -15x = -3(7 + 4x) 9 + -15x = (7 * -3 + 4x * -3) 9 + -15x = (-21 + -12x) Solving 9 + -15x = -21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 9 + -15x + 12x = -21 + -12x + 12x Combine like terms: -15x + 12x = -3x 9 + -3x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + -3x = -21 + 0 9 + -3x = -21 Add '-9' to each side of the equation. 9 + -9 + -3x = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -21 + -9 -3x = -21 + -9 Combine like terms: -21 + -9 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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