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Simplifying 4x + -5[2x + -3] = 1 + -2x Reorder the terms: 4x + -5[-3 + 2x] = 1 + -2x 4x + [-3 * -5 + 2x * -5] = 1 + -2x 4x + [15 + -10x] = 1 + -2x Reorder the terms: 15 + 4x + -10x = 1 + -2x Combine like terms: 4x + -10x = -6x 15 + -6x = 1 + -2x Solving 15 + -6x = 1 + -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. 15 + -6x + 2x = 1 + -2x + 2x Combine like terms: -6x + 2x = -4x 15 + -4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -4x = 1 + 0 15 + -4x = 1 Add '-15' to each side of the equation. 15 + -15 + -4x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 1 + -15 -4x = 1 + -15 Combine like terms: 1 + -15 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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