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Simplifying 4(2x + 3) + -2x = 4x + -1(x + -18) Reorder the terms: 4(3 + 2x) + -2x = 4x + -1(x + -18) (3 * 4 + 2x * 4) + -2x = 4x + -1(x + -18) (12 + 8x) + -2x = 4x + -1(x + -18) Combine like terms: 8x + -2x = 6x 12 + 6x = 4x + -1(x + -18) Reorder the terms: 12 + 6x = 4x + -1(-18 + x) 12 + 6x = 4x + (-18 * -1 + x * -1) 12 + 6x = 4x + (18 + -1x) Reorder the terms: 12 + 6x = 18 + 4x + -1x Combine like terms: 4x + -1x = 3x 12 + 6x = 18 + 3x Solving 12 + 6x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 18 + 0 12 + 3x = 18 Add '-12' to each side of the equation. 12 + -12 + 3x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 18 + -12 3x = 18 + -12 Combine like terms: 18 + -12 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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