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Simplifying 4x + -3(5x + 1) = 18 + -2x + 3 Reorder the terms: 4x + -3(1 + 5x) = 18 + -2x + 3 4x + (1 * -3 + 5x * -3) = 18 + -2x + 3 4x + (-3 + -15x) = 18 + -2x + 3 Reorder the terms: -3 + 4x + -15x = 18 + -2x + 3 Combine like terms: 4x + -15x = -11x -3 + -11x = 18 + -2x + 3 Reorder the terms: -3 + -11x = 18 + 3 + -2x Combine like terms: 18 + 3 = 21 -3 + -11x = 21 + -2x Solving -3 + -11x = 21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + -11x + 2x = 21 + -2x + 2x Combine like terms: -11x + 2x = -9x -3 + -9x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -9x = 21 + 0 -3 + -9x = 21 Add '3' to each side of the equation. -3 + 3 + -9x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 21 + 3 -9x = 21 + 3 Combine like terms: 21 + 3 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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