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Simplifying -29 + -6x = 5(3 + 2x) + 4 -29 + -6x = (3 * 5 + 2x * 5) + 4 -29 + -6x = (15 + 10x) + 4 Reorder the terms: -29 + -6x = 15 + 4 + 10x Combine like terms: 15 + 4 = 19 -29 + -6x = 19 + 10x Solving -29 + -6x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -29 + -6x + -10x = 19 + 10x + -10x Combine like terms: -6x + -10x = -16x -29 + -16x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 -29 + -16x = 19 + 0 -29 + -16x = 19 Add '29' to each side of the equation. -29 + 29 + -16x = 19 + 29 Combine like terms: -29 + 29 = 0 0 + -16x = 19 + 29 -16x = 19 + 29 Combine like terms: 19 + 29 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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