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Simplifying 4(x + 1) = 6[x + -1(3 + -1x)] Reorder the terms: 4(1 + x) = 6[x + -1(3 + -1x)] (1 * 4 + x * 4) = 6[x + -1(3 + -1x)] (4 + 4x) = 6[x + -1(3 + -1x)] 4 + 4x = 6[x + (3 * -1 + -1x * -1)] 4 + 4x = 6[x + (-3 + 1x)] Reorder the terms: 4 + 4x = 6[-3 + x + 1x] Combine like terms: x + 1x = 2x 4 + 4x = 6[-3 + 2x] 4 + 4x = [-3 * 6 + 2x * 6] 4 + 4x = [-18 + 12x] Solving 4 + 4x = -18 + 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. 4 + 4x + -12x = -18 + 12x + -12x Combine like terms: 4x + -12x = -8x 4 + -8x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -8x = -18 + 0 4 + -8x = -18 Add '-4' to each side of the equation. 4 + -4 + -8x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -18 + -4 -8x = -18 + -4 Combine like terms: -18 + -4 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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