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Simplifying 6[x + 3(5 + -1x)] = 4x + 1 6[x + (5 * 3 + -1x * 3)] = 4x + 1 6[x + (15 + -3x)] = 4x + 1 Reorder the terms: 6[15 + x + -3x] = 4x + 1 Combine like terms: x + -3x = -2x 6[15 + -2x] = 4x + 1 [15 * 6 + -2x * 6] = 4x + 1 [90 + -12x] = 4x + 1 Reorder the terms: 90 + -12x = 1 + 4x Solving 90 + -12x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 90 + -12x + -4x = 1 + 4x + -4x Combine like terms: -12x + -4x = -16x 90 + -16x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 90 + -16x = 1 + 0 90 + -16x = 1 Add '-90' to each side of the equation. 90 + -90 + -16x = 1 + -90 Combine like terms: 90 + -90 = 0 0 + -16x = 1 + -90 -16x = 1 + -90 Combine like terms: 1 + -90 = -89 -16x = -89 Divide each side by '-16'. x = 5.5625 Simplifying x = 5.5625
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