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Simplifying 53(x + -2) + 3x = 1 + -1(2x + 5) Reorder the terms: 53(-2 + x) + 3x = 1 + -1(2x + 5) (-2 * 53 + x * 53) + 3x = 1 + -1(2x + 5) (-106 + 53x) + 3x = 1 + -1(2x + 5) Combine like terms: 53x + 3x = 56x -106 + 56x = 1 + -1(2x + 5) Reorder the terms: -106 + 56x = 1 + -1(5 + 2x) -106 + 56x = 1 + (5 * -1 + 2x * -1) -106 + 56x = 1 + (-5 + -2x) Combine like terms: 1 + -5 = -4 -106 + 56x = -4 + -2x Solving -106 + 56x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -106 + 56x + 2x = -4 + -2x + 2x Combine like terms: 56x + 2x = 58x -106 + 58x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -106 + 58x = -4 + 0 -106 + 58x = -4 Add '106' to each side of the equation. -106 + 106 + 58x = -4 + 106 Combine like terms: -106 + 106 = 0 0 + 58x = -4 + 106 58x = -4 + 106 Combine like terms: -4 + 106 = 102 58x = 102 Divide each side by '58'. x = 1.75862069 Simplifying x = 1.75862069
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