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Simplifying 4(3 + -2x) + 6(x + -3) = 7x + -5 (3 * 4 + -2x * 4) + 6(x + -3) = 7x + -5 (12 + -8x) + 6(x + -3) = 7x + -5 Reorder the terms: 12 + -8x + 6(-3 + x) = 7x + -5 12 + -8x + (-3 * 6 + x * 6) = 7x + -5 12 + -8x + (-18 + 6x) = 7x + -5 Reorder the terms: 12 + -18 + -8x + 6x = 7x + -5 Combine like terms: 12 + -18 = -6 -6 + -8x + 6x = 7x + -5 Combine like terms: -8x + 6x = -2x -6 + -2x = 7x + -5 Reorder the terms: -6 + -2x = -5 + 7x Solving -6 + -2x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -2x + -7x = -5 + 7x + -7x Combine like terms: -2x + -7x = -9x -6 + -9x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -9x = -5 + 0 -6 + -9x = -5 Add '6' to each side of the equation. -6 + 6 + -9x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -5 + 6 -9x = -5 + 6 Combine like terms: -5 + 6 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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