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Simplifying 4(x + 3) + -7 = 3x + -10 Reorder the terms: 4(3 + x) + -7 = 3x + -10 (3 * 4 + x * 4) + -7 = 3x + -10 (12 + 4x) + -7 = 3x + -10 Reorder the terms: 12 + -7 + 4x = 3x + -10 Combine like terms: 12 + -7 = 5 5 + 4x = 3x + -10 Reorder the terms: 5 + 4x = -10 + 3x Solving 5 + 4x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 4x + -3x = -10 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = -10 + 0 5 + 1x = -10 Add '-5' to each side of the equation. 5 + -5 + 1x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -10 + -5 1x = -10 + -5 Combine like terms: -10 + -5 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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