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Simplifying 4(4x + 3) = 7(x + -2) + 10 Reorder the terms: 4(3 + 4x) = 7(x + -2) + 10 (3 * 4 + 4x * 4) = 7(x + -2) + 10 (12 + 16x) = 7(x + -2) + 10 Reorder the terms: 12 + 16x = 7(-2 + x) + 10 12 + 16x = (-2 * 7 + x * 7) + 10 12 + 16x = (-14 + 7x) + 10 Reorder the terms: 12 + 16x = -14 + 10 + 7x Combine like terms: -14 + 10 = -4 12 + 16x = -4 + 7x Solving 12 + 16x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 16x + -7x = -4 + 7x + -7x Combine like terms: 16x + -7x = 9x 12 + 9x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 9x = -4 + 0 12 + 9x = -4 Add '-12' to each side of the equation. 12 + -12 + 9x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -4 + -12 9x = -4 + -12 Combine like terms: -4 + -12 = -16 9x = -16 Divide each side by '9'. x = -1.777777778 Simplifying x = -1.777777778
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