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Simplifying 4x + x + x + 1 = 7(x + -3) Reorder the terms: 1 + 4x + x + x = 7(x + -3) Combine like terms: 4x + x = 5x 1 + 5x + x = 7(x + -3) Combine like terms: 5x + x = 6x 1 + 6x = 7(x + -3) Reorder the terms: 1 + 6x = 7(-3 + x) 1 + 6x = (-3 * 7 + x * 7) 1 + 6x = (-21 + 7x) Solving 1 + 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. 1 + 6x + -7x = -21 + 7x + -7x Combine like terms: 6x + -7x = -1x 1 + -1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -1x = -21 + 0 1 + -1x = -21 Add '-1' to each side of the equation. 1 + -1 + -1x = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -21 + -1 -1x = -21 + -1 Combine like terms: -21 + -1 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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