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Simplifying 4[x + 3(5 + -1x)] = 2x + 1 4[x + (5 * 3 + -1x * 3)] = 2x + 1 4[x + (15 + -3x)] = 2x + 1 Reorder the terms: 4[15 + x + -3x] = 2x + 1 Combine like terms: x + -3x = -2x 4[15 + -2x] = 2x + 1 [15 * 4 + -2x * 4] = 2x + 1 [60 + -8x] = 2x + 1 Reorder the terms: 60 + -8x = 1 + 2x Solving 60 + -8x = 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. 60 + -8x + -2x = 1 + 2x + -2x Combine like terms: -8x + -2x = -10x 60 + -10x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 60 + -10x = 1 + 0 60 + -10x = 1 Add '-60' to each side of the equation. 60 + -60 + -10x = 1 + -60 Combine like terms: 60 + -60 = 0 0 + -10x = 1 + -60 -10x = 1 + -60 Combine like terms: 1 + -60 = -59 -10x = -59 Divide each side by '-10'. x = 5.9 Simplifying x = 5.9
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