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Simplifying -29 + 6x = 7(x + -4) Reorder the terms: -29 + 6x = 7(-4 + x) -29 + 6x = (-4 * 7 + x * 7) -29 + 6x = (-28 + 7x) Solving -29 + 6x = -28 + 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. -29 + 6x + -7x = -28 + 7x + -7x Combine like terms: 6x + -7x = -1x -29 + -1x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -29 + -1x = -28 + 0 -29 + -1x = -28 Add '29' to each side of the equation. -29 + 29 + -1x = -28 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = -28 + 29 -1x = -28 + 29 Combine like terms: -28 + 29 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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