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Simplifying 6x + -18 = 3(x + -7) + 4x Reorder the terms: -18 + 6x = 3(x + -7) + 4x Reorder the terms: -18 + 6x = 3(-7 + x) + 4x -18 + 6x = (-7 * 3 + x * 3) + 4x -18 + 6x = (-21 + 3x) + 4x Combine like terms: 3x + 4x = 7x -18 + 6x = -21 + 7x Solving -18 + 6x = -21 + 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. -18 + 6x + -7x = -21 + 7x + -7x Combine like terms: 6x + -7x = -1x -18 + -1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -1x = -21 + 0 -18 + -1x = -21 Add '18' to each side of the equation. -18 + 18 + -1x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -21 + 18 -1x = -21 + 18 Combine like terms: -21 + 18 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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