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Simplifying 6[x + 5] + -12 = 3[3x + 1] + 4x Reorder the terms: 6[5 + x] + -12 = 3[3x + 1] + 4x [5 * 6 + x * 6] + -12 = 3[3x + 1] + 4x [30 + 6x] + -12 = 3[3x + 1] + 4x Reorder the terms: 30 + -12 + 6x = 3[3x + 1] + 4x Combine like terms: 30 + -12 = 18 18 + 6x = 3[3x + 1] + 4x Reorder the terms: 18 + 6x = 3[1 + 3x] + 4x 18 + 6x = [1 * 3 + 3x * 3] + 4x 18 + 6x = [3 + 9x] + 4x Combine like terms: 9x + 4x = 13x 18 + 6x = 3 + 13x Solving 18 + 6x = 3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 18 + 6x + -13x = 3 + 13x + -13x Combine like terms: 6x + -13x = -7x 18 + -7x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -7x = 3 + 0 18 + -7x = 3 Add '-18' to each side of the equation. 18 + -18 + -7x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 3 + -18 -7x = 3 + -18 Combine like terms: 3 + -18 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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