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Simplifying 4(6x + 10) + -3[(3x + 7) + -1(2x + -3)] = 160 Reorder the terms: 4(10 + 6x) + -3[(3x + 7) + -1(2x + -3)] = 160 (10 * 4 + 6x * 4) + -3[(3x + 7) + -1(2x + -3)] = 160 (40 + 24x) + -3[(3x + 7) + -1(2x + -3)] = 160 Reorder the terms: 40 + 24x + -3[(7 + 3x) + -1(2x + -3)] = 160 Remove parenthesis around (7 + 3x) 40 + 24x + -3[7 + 3x + -1(2x + -3)] = 160 Reorder the terms: 40 + 24x + -3[7 + 3x + -1(-3 + 2x)] = 160 40 + 24x + -3[7 + 3x + (-3 * -1 + 2x * -1)] = 160 40 + 24x + -3[7 + 3x + (3 + -2x)] = 160 Reorder the terms: 40 + 24x + -3[7 + 3 + 3x + -2x] = 160 Combine like terms: 7 + 3 = 10 40 + 24x + -3[10 + 3x + -2x] = 160 Combine like terms: 3x + -2x = 1x 40 + 24x + -3[10 + 1x] = 160 40 + 24x + [10 * -3 + 1x * -3] = 160 40 + 24x + [-30 + -3x] = 160 Reorder the terms: 40 + -30 + 24x + -3x = 160 Combine like terms: 40 + -30 = 10 10 + 24x + -3x = 160 Combine like terms: 24x + -3x = 21x 10 + 21x = 160 Solving 10 + 21x = 160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 21x = 160 + -10 Combine like terms: 10 + -10 = 0 0 + 21x = 160 + -10 21x = 160 + -10 Combine like terms: 160 + -10 = 150 21x = 150 Divide each side by '21'. x = 7.142857143 Simplifying x = 7.142857143
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