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Simplifying 4x + -5 * 2(x + -3) = 12x + 7 Reorder the terms: 4x + -5 * 2(-3 + x) = 12x + 7 Multiply -5 * 2 4x + -10(-3 + x) = 12x + 7 4x + (-3 * -10 + x * -10) = 12x + 7 4x + (30 + -10x) = 12x + 7 Reorder the terms: 30 + 4x + -10x = 12x + 7 Combine like terms: 4x + -10x = -6x 30 + -6x = 12x + 7 Reorder the terms: 30 + -6x = 7 + 12x Solving 30 + -6x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + -6x + -12x = 7 + 12x + -12x Combine like terms: -6x + -12x = -18x 30 + -18x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -18x = 7 + 0 30 + -18x = 7 Add '-30' to each side of the equation. 30 + -30 + -18x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -18x = 7 + -30 -18x = 7 + -30 Combine like terms: 7 + -30 = -23 -18x = -23 Divide each side by '-18'. x = 1.277777778 Simplifying x = 1.277777778
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