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Simplifying 4 + -3(2x + 1) = 5(2x + -3) + -18x Reorder the terms: 4 + -3(1 + 2x) = 5(2x + -3) + -18x 4 + (1 * -3 + 2x * -3) = 5(2x + -3) + -18x 4 + (-3 + -6x) = 5(2x + -3) + -18x Combine like terms: 4 + -3 = 1 1 + -6x = 5(2x + -3) + -18x Reorder the terms: 1 + -6x = 5(-3 + 2x) + -18x 1 + -6x = (-3 * 5 + 2x * 5) + -18x 1 + -6x = (-15 + 10x) + -18x Combine like terms: 10x + -18x = -8x 1 + -6x = -15 + -8x Solving 1 + -6x = -15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 1 + -6x + 8x = -15 + -8x + 8x Combine like terms: -6x + 8x = 2x 1 + 2x = -15 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 2x = -15 + 0 1 + 2x = -15 Add '-1' to each side of the equation. 1 + -1 + 2x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -15 + -1 2x = -15 + -1 Combine like terms: -15 + -1 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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