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Simplifying 5 + -3(5x + 2) = 4(7 + -3x) + 1 Reorder the terms: 5 + -3(2 + 5x) = 4(7 + -3x) + 1 5 + (2 * -3 + 5x * -3) = 4(7 + -3x) + 1 5 + (-6 + -15x) = 4(7 + -3x) + 1 Combine like terms: 5 + -6 = -1 -1 + -15x = 4(7 + -3x) + 1 -1 + -15x = (7 * 4 + -3x * 4) + 1 -1 + -15x = (28 + -12x) + 1 Reorder the terms: -1 + -15x = 28 + 1 + -12x Combine like terms: 28 + 1 = 29 -1 + -15x = 29 + -12x Solving -1 + -15x = 29 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -1 + -15x + 12x = 29 + -12x + 12x Combine like terms: -15x + 12x = -3x -1 + -3x = 29 + -12x + 12x Combine like terms: -12x + 12x = 0 -1 + -3x = 29 + 0 -1 + -3x = 29 Add '1' to each side of the equation. -1 + 1 + -3x = 29 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 29 + 1 -3x = 29 + 1 Combine like terms: 29 + 1 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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