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Simplifying 4x + 20 + 2(x + -7) = 7(x + 3) Reorder the terms: 4x + 20 + 2(-7 + x) = 7(x + 3) 4x + 20 + (-7 * 2 + x * 2) = 7(x + 3) 4x + 20 + (-14 + 2x) = 7(x + 3) Reorder the terms: 20 + -14 + 4x + 2x = 7(x + 3) Combine like terms: 20 + -14 = 6 6 + 4x + 2x = 7(x + 3) Combine like terms: 4x + 2x = 6x 6 + 6x = 7(x + 3) Reorder the terms: 6 + 6x = 7(3 + x) 6 + 6x = (3 * 7 + x * 7) 6 + 6x = (21 + 7x) Solving 6 + 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. 6 + 6x + -7x = 21 + 7x + -7x Combine like terms: 6x + -7x = -1x 6 + -1x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -1x = 21 + 0 6 + -1x = 21 Add '-6' to each side of the equation. 6 + -6 + -1x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 21 + -6 -1x = 21 + -6 Combine like terms: 21 + -6 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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