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Simplifying 7[2 + -1(3 + 4x)] + -2x = -9 + 2(1 + -15x) * 74 7[2 + (3 * -1 + 4x * -1)] + -2x = -9 + 2(1 + -15x) * 74 7[2 + (-3 + -4x)] + -2x = -9 + 2(1 + -15x) * 74 Combine like terms: 2 + -3 = -1 7[-1 + -4x] + -2x = -9 + 2(1 + -15x) * 74 [-1 * 7 + -4x * 7] + -2x = -9 + 2(1 + -15x) * 74 [-7 + -28x] + -2x = -9 + 2(1 + -15x) * 74 Combine like terms: -28x + -2x = -30x -7 + -30x = -9 + 2(1 + -15x) * 74 Reorder the terms for easier multiplication: -7 + -30x = -9 + 2 * 74(1 + -15x) Multiply 2 * 74 -7 + -30x = -9 + 148(1 + -15x) -7 + -30x = -9 + (1 * 148 + -15x * 148) -7 + -30x = -9 + (148 + -2220x) Combine like terms: -9 + 148 = 139 -7 + -30x = 139 + -2220x Solving -7 + -30x = 139 + -2220x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2220x' to each side of the equation. -7 + -30x + 2220x = 139 + -2220x + 2220x Combine like terms: -30x + 2220x = 2190x -7 + 2190x = 139 + -2220x + 2220x Combine like terms: -2220x + 2220x = 0 -7 + 2190x = 139 + 0 -7 + 2190x = 139 Add '7' to each side of the equation. -7 + 7 + 2190x = 139 + 7 Combine like terms: -7 + 7 = 0 0 + 2190x = 139 + 7 2190x = 139 + 7 Combine like terms: 139 + 7 = 146 2190x = 146 Divide each side by '2190'. x = 0.06666666667 Simplifying x = 0.06666666667
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