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Simplifying 2(x + -4) + 3(x + 3) = 6x + -17 Reorder the terms: 2(-4 + x) + 3(x + 3) = 6x + -17 (-4 * 2 + x * 2) + 3(x + 3) = 6x + -17 (-8 + 2x) + 3(x + 3) = 6x + -17 Reorder the terms: -8 + 2x + 3(3 + x) = 6x + -17 -8 + 2x + (3 * 3 + x * 3) = 6x + -17 -8 + 2x + (9 + 3x) = 6x + -17 Reorder the terms: -8 + 9 + 2x + 3x = 6x + -17 Combine like terms: -8 + 9 = 1 1 + 2x + 3x = 6x + -17 Combine like terms: 2x + 3x = 5x 1 + 5x = 6x + -17 Reorder the terms: 1 + 5x = -17 + 6x Solving 1 + 5x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 5x + -6x = -17 + 6x + -6x Combine like terms: 5x + -6x = -1x 1 + -1x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x = -17 + 0 1 + -1x = -17 Add '-1' to each side of the equation. 1 + -1 + -1x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -17 + -1 -1x = -17 + -1 Combine like terms: -17 + -1 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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