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Simplifying 5[4 + 6(4 + -1x) + 3x] = 7 + -3x 5[4 + (4 * 6 + -1x * 6) + 3x] = 7 + -3x 5[4 + (24 + -6x) + 3x] = 7 + -3x Combine like terms: 4 + 24 = 28 5[28 + -6x + 3x] = 7 + -3x Combine like terms: -6x + 3x = -3x 5[28 + -3x] = 7 + -3x [28 * 5 + -3x * 5] = 7 + -3x [140 + -15x] = 7 + -3x Solving 140 + -15x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 140 + -15x + 3x = 7 + -3x + 3x Combine like terms: -15x + 3x = -12x 140 + -12x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 140 + -12x = 7 + 0 140 + -12x = 7 Add '-140' to each side of the equation. 140 + -140 + -12x = 7 + -140 Combine like terms: 140 + -140 = 0 0 + -12x = 7 + -140 -12x = 7 + -140 Combine like terms: 7 + -140 = -133 -12x = -133 Divide each side by '-12'. x = 11.08333333 Simplifying x = 11.08333333
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