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Simplifying 7x + -3(2x + -4) = 4x + 9 + -18 Reorder the terms: 7x + -3(-4 + 2x) = 4x + 9 + -18 7x + (-4 * -3 + 2x * -3) = 4x + 9 + -18 7x + (12 + -6x) = 4x + 9 + -18 Reorder the terms: 12 + 7x + -6x = 4x + 9 + -18 Combine like terms: 7x + -6x = 1x 12 + 1x = 4x + 9 + -18 Reorder the terms: 12 + 1x = 9 + -18 + 4x Combine like terms: 9 + -18 = -9 12 + 1x = -9 + 4x Solving 12 + 1x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 1x + -4x = -9 + 4x + -4x Combine like terms: 1x + -4x = -3x 12 + -3x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -3x = -9 + 0 12 + -3x = -9 Add '-12' to each side of the equation. 12 + -12 + -3x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -9 + -12 -3x = -9 + -12 Combine like terms: -9 + -12 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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