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Simplifying 7x + 4(4x + -3) = 4(6x + 4) + -4 Reorder the terms: 7x + 4(-3 + 4x) = 4(6x + 4) + -4 7x + (-3 * 4 + 4x * 4) = 4(6x + 4) + -4 7x + (-12 + 16x) = 4(6x + 4) + -4 Reorder the terms: -12 + 7x + 16x = 4(6x + 4) + -4 Combine like terms: 7x + 16x = 23x -12 + 23x = 4(6x + 4) + -4 Reorder the terms: -12 + 23x = 4(4 + 6x) + -4 -12 + 23x = (4 * 4 + 6x * 4) + -4 -12 + 23x = (16 + 24x) + -4 Reorder the terms: -12 + 23x = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 -12 + 23x = 12 + 24x Solving -12 + 23x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 23x + -24x = 12 + 24x + -24x Combine like terms: 23x + -24x = -1x -12 + -1x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -1x = 12 + 0 -12 + -1x = 12 Add '12' to each side of the equation. -12 + 12 + -1x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 12 + 12 -1x = 12 + 12 Combine like terms: 12 + 12 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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