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Simplifying -3(x + 6) + 5 = 7(x + 4) + 1 Reorder the terms: -3(6 + x) + 5 = 7(x + 4) + 1 (6 * -3 + x * -3) + 5 = 7(x + 4) + 1 (-18 + -3x) + 5 = 7(x + 4) + 1 Reorder the terms: -18 + 5 + -3x = 7(x + 4) + 1 Combine like terms: -18 + 5 = -13 -13 + -3x = 7(x + 4) + 1 Reorder the terms: -13 + -3x = 7(4 + x) + 1 -13 + -3x = (4 * 7 + x * 7) + 1 -13 + -3x = (28 + 7x) + 1 Reorder the terms: -13 + -3x = 28 + 1 + 7x Combine like terms: 28 + 1 = 29 -13 + -3x = 29 + 7x Solving -13 + -3x = 29 + 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. -13 + -3x + -7x = 29 + 7x + -7x Combine like terms: -3x + -7x = -10x -13 + -10x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -10x = 29 + 0 -13 + -10x = 29 Add '13' to each side of the equation. -13 + 13 + -10x = 29 + 13 Combine like terms: -13 + 13 = 0 0 + -10x = 29 + 13 -10x = 29 + 13 Combine like terms: 29 + 13 = 42 -10x = 42 Divide each side by '-10'. x = -4.2 Simplifying x = -4.2
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